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Finding the Fourth Proportional to 7,472.55, 10,314.72 and 4,642.10

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Solution

The fourth proportional to 7,472.55, 10,314.72 and 4,642.10 is: 6,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.55 : 10,314.72 = 4,642.10 : x
  2. Step 2: Convert to fraction form
    7,472.55/10,314.72 = 4,642.10/x
  3. Step 3: Cross multiply
    7,472.55x = 10,314.72 × 4,642.10
  4. Step 4: Simplify right side
    7,472.55x = 47,881,938.50
  5. Step 5: Solve for x
    x = 47,881,938.50/7,472.55
  6. Step 6: Final answer
    x = 6,407.71

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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.