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Finding the Fourth Proportional to 10,140.55, 15,207.13 and 3,897.34

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Solution

The fourth proportional to 10,140.55, 15,207.13 and 3,897.34 is: 5,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.55 : 15,207.13 = 3,897.34 : x
  2. Step 2: Convert to fraction form
    10,140.55/15,207.13 = 3,897.34/x
  3. Step 3: Cross multiply
    10,140.55x = 15,207.13 × 3,897.34
  4. Step 4: Simplify right side
    10,140.55x = 59,267,356.03
  5. Step 5: Solve for x
    x = 59,267,356.03/10,140.55
  6. Step 6: Final answer
    x = 5,844.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.