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Finding the Fourth Proportional to 10,572.65, 14,591.81 and 6,095.52

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Solution

The fourth proportional to 10,572.65, 14,591.81 and 6,095.52 is: 8,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.65 : 14,591.81 = 6,095.52 : x
  2. Step 2: Convert to fraction form
    10,572.65/14,591.81 = 6,095.52/x
  3. Step 3: Cross multiply
    10,572.65x = 14,591.81 × 6,095.52
  4. Step 4: Simplify right side
    10,572.65x = 88,944,716.79
  5. Step 5: Solve for x
    x = 88,944,716.79/10,572.65
  6. Step 6: Final answer
    x = 8,412.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.