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Finding the Fourth Proportional to 10,624.13, 14,664.95 and 6,432.38

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Solution

The fourth proportional to 10,624.13, 14,664.95 and 6,432.38 is: 8,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.13 : 14,664.95 = 6,432.38 : x
  2. Step 2: Convert to fraction form
    10,624.13/14,664.95 = 6,432.38/x
  3. Step 3: Cross multiply
    10,624.13x = 14,664.95 × 6,432.38
  4. Step 4: Simplify right side
    10,624.13x = 94,330,425.59
  5. Step 5: Solve for x
    x = 94,330,425.59/10,624.13
  6. Step 6: Final answer
    x = 8,878.89

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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.