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Finding the Fourth Proportional to 7,254.30, 10,881.45 and 5,140.20

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Solution

The fourth proportional to 7,254.30, 10,881.45 and 5,140.20 is: 7,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.30 : 10,881.45 = 5,140.20 : x
  2. Step 2: Convert to fraction form
    7,254.30/10,881.45 = 5,140.20/x
  3. Step 3: Cross multiply
    7,254.30x = 10,881.45 × 5,140.20
  4. Step 4: Simplify right side
    7,254.30x = 55,932,829.29
  5. Step 5: Solve for x
    x = 55,932,829.29/7,254.30
  6. Step 6: Final answer
    x = 7,710.30

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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.