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Finding the Fourth Proportional to 11,898.60, 16,416 and 6,862.68

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Solution

The fourth proportional to 11,898.60, 16,416 and 6,862.68 is: 9,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.60 : 16,416 = 6,862.68 : x
  2. Step 2: Convert to fraction form
    11,898.60/16,416 = 6,862.68/x
  3. Step 3: Cross multiply
    11,898.60x = 16,416 × 6,862.68
  4. Step 4: Simplify right side
    11,898.60x = 112,657,754.88
  5. Step 5: Solve for x
    x = 112,657,754.88/11,898.60
  6. Step 6: Final answer
    x = 9,468.15

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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.