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Finding the Fourth Proportional to 7,498.86, 10,347.91 and 4,141.68

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Solution

The fourth proportional to 7,498.86, 10,347.91 and 4,141.68 is: 5,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.86 : 10,347.91 = 4,141.68 : x
  2. Step 2: Convert to fraction form
    7,498.86/10,347.91 = 4,141.68/x
  3. Step 3: Cross multiply
    7,498.86x = 10,347.91 × 4,141.68
  4. Step 4: Simplify right side
    7,498.86x = 42,857,731.89
  5. Step 5: Solve for x
    x = 42,857,731.89/7,498.86
  6. Step 6: Final answer
    x = 5,715.23

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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.