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Finding the Fourth Proportional to 10,298.92, 14,209.14 and 6,318.58

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Solution

The fourth proportional to 10,298.92, 14,209.14 and 6,318.58 is: 8,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.92 : 14,209.14 = 6,318.58 : x
  2. Step 2: Convert to fraction form
    10,298.92/14,209.14 = 6,318.58/x
  3. Step 3: Cross multiply
    10,298.92x = 14,209.14 × 6,318.58
  4. Step 4: Simplify right side
    10,298.92x = 89,781,587.82
  5. Step 5: Solve for x
    x = 89,781,587.82/10,298.92
  6. Step 6: Final answer
    x = 8,717.57

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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.