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Finding the Fourth Proportional to 7,414.01, 10,235.45 and 5,148.71

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Solution

The fourth proportional to 7,414.01, 10,235.45 and 5,148.71 is: 7,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.01 : 10,235.45 = 5,148.71 : x
  2. Step 2: Convert to fraction form
    7,414.01/10,235.45 = 5,148.71/x
  3. Step 3: Cross multiply
    7,414.01x = 10,235.45 × 5,148.71
  4. Step 4: Simplify right side
    7,414.01x = 52,699,325.46
  5. Step 5: Solve for x
    x = 52,699,325.46/7,414.01
  6. Step 6: Final answer
    x = 7,108.08

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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.