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Finding the Fourth Proportional to 10,367.71, 14,307.45 and 6,118.78

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Solution

The fourth proportional to 10,367.71, 14,307.45 and 6,118.78 is: 8,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.71 : 14,307.45 = 6,118.78 : x
  2. Step 2: Convert to fraction form
    10,367.71/14,307.45 = 6,118.78/x
  3. Step 3: Cross multiply
    10,367.71x = 14,307.45 × 6,118.78
  4. Step 4: Simplify right side
    10,367.71x = 87,544,138.91
  5. Step 5: Solve for x
    x = 87,544,138.91/10,367.71
  6. Step 6: Final answer
    x = 8,443.92

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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.