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Finding the Fourth Proportional to 10,958.32, 15,130.38 and 9,893.98

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Solution

The fourth proportional to 10,958.32, 15,130.38 and 9,893.98 is: 13,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.32 : 15,130.38 = 9,893.98 : x
  2. Step 2: Convert to fraction form
    10,958.32/15,130.38 = 9,893.98/x
  3. Step 3: Cross multiply
    10,958.32x = 15,130.38 × 9,893.98
  4. Step 4: Simplify right side
    10,958.32x = 149,699,677.11
  5. Step 5: Solve for x
    x = 149,699,677.11/10,958.32
  6. Step 6: Final answer
    x = 13,660.82

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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.