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Finding the Fourth Proportional to 10,886.37, 15,026.38 and 7,110.12

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Solution

The fourth proportional to 10,886.37, 15,026.38 and 7,110.12 is: 9,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.37 : 15,026.38 = 7,110.12 : x
  2. Step 2: Convert to fraction form
    10,886.37/15,026.38 = 7,110.12/x
  3. Step 3: Cross multiply
    10,886.37x = 15,026.38 × 7,110.12
  4. Step 4: Simplify right side
    10,886.37x = 106,839,403.54
  5. Step 5: Solve for x
    x = 106,839,403.54/10,886.37
  6. Step 6: Final answer
    x = 9,814.06

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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.