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Finding the Fourth Proportional to 7,564.56, 10,432.10 and 4,731.02

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Solution

The fourth proportional to 7,564.56, 10,432.10 and 4,731.02 is: 6,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.56 : 10,432.10 = 4,731.02 : x
  2. Step 2: Convert to fraction form
    7,564.56/10,432.10 = 4,731.02/x
  3. Step 3: Cross multiply
    7,564.56x = 10,432.10 × 4,731.02
  4. Step 4: Simplify right side
    7,564.56x = 49,354,473.74
  5. Step 5: Solve for x
    x = 49,354,473.74/7,564.56
  6. Step 6: Final answer
    x = 6,524.43

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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.