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Finding the Fourth Proportional to 7,416, 11,061.03 and 6,253.68

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Solution

The fourth proportional to 7,416, 11,061.03 and 6,253.68 is: 9,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 11,061.03 = 6,253.68 : x
  2. Step 2: Convert to fraction form
    7,416/11,061.03 = 6,253.68/x
  3. Step 3: Cross multiply
    7,416x = 11,061.03 × 6,253.68
  4. Step 4: Simplify right side
    7,416x = 69,172,142.09
  5. Step 5: Solve for x
    x = 69,172,142.09/7,416
  6. Step 6: Final answer
    x = 9,327.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.