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Finding the Fourth Proportional to 10,496.59, 14,488.14 and 6,022.69

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Solution

The fourth proportional to 10,496.59, 14,488.14 and 6,022.69 is: 8,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.59 : 14,488.14 = 6,022.69 : x
  2. Step 2: Convert to fraction form
    10,496.59/14,488.14 = 6,022.69/x
  3. Step 3: Cross multiply
    10,496.59x = 14,488.14 × 6,022.69
  4. Step 4: Simplify right side
    10,496.59x = 87,257,575.90
  5. Step 5: Solve for x
    x = 87,257,575.90/10,496.59
  6. Step 6: Final answer
    x = 8,312.95

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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.