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Finding the Fourth Proportional to 10,966.58, 16,452.30 and 5,120

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Solution

The fourth proportional to 10,966.58, 16,452.30 and 5,120 is: 7,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.58 : 16,452.30 = 5,120 : x
  2. Step 2: Convert to fraction form
    10,966.58/16,452.30 = 5,120/x
  3. Step 3: Cross multiply
    10,966.58x = 16,452.30 × 5,120
  4. Step 4: Simplify right side
    10,966.58x = 84,235,776
  5. Step 5: Solve for x
    x = 84,235,776/10,966.58
  6. Step 6: Final answer
    x = 7,681.13

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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.