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Finding the Fourth Proportional to 10,877.46, 16,320.08 and 6,712.62

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Solution

The fourth proportional to 10,877.46, 16,320.08 and 6,712.62 is: 10,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.46 : 16,320.08 = 6,712.62 : x
  2. Step 2: Convert to fraction form
    10,877.46/16,320.08 = 6,712.62/x
  3. Step 3: Cross multiply
    10,877.46x = 16,320.08 × 6,712.62
  4. Step 4: Simplify right side
    10,877.46x = 109,550,461.85
  5. Step 5: Solve for x
    x = 109,550,461.85/10,877.46
  6. Step 6: Final answer
    x = 10,071.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.