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Finding the Fourth Proportional to 7,537.70, 11,306.55 and 5,204.90

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Solution

The fourth proportional to 7,537.70, 11,306.55 and 5,204.90 is: 7,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.70 : 11,306.55 = 5,204.90 : x
  2. Step 2: Convert to fraction form
    7,537.70/11,306.55 = 5,204.90/x
  3. Step 3: Cross multiply
    7,537.70x = 11,306.55 × 5,204.90
  4. Step 4: Simplify right side
    7,537.70x = 58,849,462.10
  5. Step 5: Solve for x
    x = 58,849,462.10/7,537.70
  6. Step 6: Final answer
    x = 7,807.35

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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.