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Finding the Fourth Proportional to 7,456.86, 10,290.65 and 4,100.02

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Solution

The fourth proportional to 7,456.86, 10,290.65 and 4,100.02 is: 5,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.86 : 10,290.65 = 4,100.02 : x
  2. Step 2: Convert to fraction form
    7,456.86/10,290.65 = 4,100.02/x
  3. Step 3: Cross multiply
    7,456.86x = 10,290.65 × 4,100.02
  4. Step 4: Simplify right side
    7,456.86x = 42,191,824.59
  5. Step 5: Solve for x
    x = 42,191,824.59/7,456.86
  6. Step 6: Final answer
    x = 5,658.12

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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.