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Finding the Fourth Proportional to 7,569.55, 10,446.22 and 4,736.02

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Solution

The fourth proportional to 7,569.55, 10,446.22 and 4,736.02 is: 6,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.55 : 10,446.22 = 4,736.02 : x
  2. Step 2: Convert to fraction form
    7,569.55/10,446.22 = 4,736.02/x
  3. Step 3: Cross multiply
    7,569.55x = 10,446.22 × 4,736.02
  4. Step 4: Simplify right side
    7,569.55x = 49,473,454.61
  5. Step 5: Solve for x
    x = 49,473,454.61/7,569.55
  6. Step 6: Final answer
    x = 6,535.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.