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Finding the Fourth Proportional to 10,140.98, 15,201.11 and 6,854.40

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Solution

The fourth proportional to 10,140.98, 15,201.11 and 6,854.40 is: 10,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.98 : 15,201.11 = 6,854.40 : x
  2. Step 2: Convert to fraction form
    10,140.98/15,201.11 = 6,854.40/x
  3. Step 3: Cross multiply
    10,140.98x = 15,201.11 × 6,854.40
  4. Step 4: Simplify right side
    10,140.98x = 104,194,505.52
  5. Step 5: Solve for x
    x = 104,194,505.52/10,140.98
  6. Step 6: Final answer
    x = 10,274.60

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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.