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Finding the Fourth Proportional to 7,475.78, 10,316.64 and 4,118.71

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Solution

The fourth proportional to 7,475.78, 10,316.64 and 4,118.71 is: 5,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.78 : 10,316.64 = 4,118.71 : x
  2. Step 2: Convert to fraction form
    7,475.78/10,316.64 = 4,118.71/x
  3. Step 3: Cross multiply
    7,475.78x = 10,316.64 × 4,118.71
  4. Step 4: Simplify right side
    7,475.78x = 42,491,248.33
  5. Step 5: Solve for x
    x = 42,491,248.33/7,475.78
  6. Step 6: Final answer
    x = 5,683.85

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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.