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Finding the Fourth Proportional to 10,895.14, 15,009.38 and 10,241.10

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Solution

The fourth proportional to 10,895.14, 15,009.38 and 10,241.10 is: 14,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.14 : 15,009.38 = 10,241.10 : x
  2. Step 2: Convert to fraction form
    10,895.14/15,009.38 = 10,241.10/x
  3. Step 3: Cross multiply
    10,895.14x = 15,009.38 × 10,241.10
  4. Step 4: Simplify right side
    10,895.14x = 153,712,548.72
  5. Step 5: Solve for x
    x = 153,712,548.72/10,895.14
  6. Step 6: Final answer
    x = 14,108.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.