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Finding the Fourth Proportional to 7,306.61, 10,944.18 and 4,953.71

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Solution

The fourth proportional to 7,306.61, 10,944.18 and 4,953.71 is: 7,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.61 : 10,944.18 = 4,953.71 : x
  2. Step 2: Convert to fraction form
    7,306.61/10,944.18 = 4,953.71/x
  3. Step 3: Cross multiply
    7,306.61x = 10,944.18 × 4,953.71
  4. Step 4: Simplify right side
    7,306.61x = 54,214,239.19
  5. Step 5: Solve for x
    x = 54,214,239.19/7,306.61
  6. Step 6: Final answer
    x = 7,419.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.