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Finding the Fourth Proportional to 10,041.57, 15,038.06 and 6,140.61

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Solution

The fourth proportional to 10,041.57, 15,038.06 and 6,140.61 is: 9,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.57 : 15,038.06 = 6,140.61 : x
  2. Step 2: Convert to fraction form
    10,041.57/15,038.06 = 6,140.61/x
  3. Step 3: Cross multiply
    10,041.57x = 15,038.06 × 6,140.61
  4. Step 4: Simplify right side
    10,041.57x = 92,342,830.91
  5. Step 5: Solve for x
    x = 92,342,830.91/10,041.57
  6. Step 6: Final answer
    x = 9,196.06

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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.