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Finding the Fourth Proportional to 10,966.30, 16,438.65 and 5,415.10

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Solution

The fourth proportional to 10,966.30, 16,438.65 and 5,415.10 is: 8,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.30 : 16,438.65 = 5,415.10 : x
  2. Step 2: Convert to fraction form
    10,966.30/16,438.65 = 5,415.10/x
  3. Step 3: Cross multiply
    10,966.30x = 16,438.65 × 5,415.10
  4. Step 4: Simplify right side
    10,966.30x = 89,016,933.62
  5. Step 5: Solve for x
    x = 89,016,933.62/10,966.30
  6. Step 6: Final answer
    x = 8,117.32

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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.