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Finding the Fourth Proportional to 5,510.10, 8,265.15 and 5,142.90

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Solution

The fourth proportional to 5,510.10, 8,265.15 and 5,142.90 is: 7,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.10 : 8,265.15 = 5,142.90 : x
  2. Step 2: Convert to fraction form
    5,510.10/8,265.15 = 5,142.90/x
  3. Step 3: Cross multiply
    5,510.10x = 8,265.15 × 5,142.90
  4. Step 4: Simplify right side
    5,510.10x = 42,506,839.94
  5. Step 5: Solve for x
    x = 42,506,839.94/5,510.10
  6. Step 6: Final answer
    x = 7,714.35

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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.