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Finding the Fourth Proportional to 10,966.80, 16,412.40 and 6,587.40

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Solution

The fourth proportional to 10,966.80, 16,412.40 and 6,587.40 is: 9,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.80 : 16,412.40 = 6,587.40 : x
  2. Step 2: Convert to fraction form
    10,966.80/16,412.40 = 6,587.40/x
  3. Step 3: Cross multiply
    10,966.80x = 16,412.40 × 6,587.40
  4. Step 4: Simplify right side
    10,966.80x = 108,115,043.76
  5. Step 5: Solve for x
    x = 108,115,043.76/10,966.80
  6. Step 6: Final answer
    x = 9,858.39

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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.