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Finding the Fourth Proportional to 10,966.24, 16,415.32 and 8,868.68

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Solution

The fourth proportional to 10,966.24, 16,415.32 and 8,868.68 is: 13,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.24 : 16,415.32 = 8,868.68 : x
  2. Step 2: Convert to fraction form
    10,966.24/16,415.32 = 8,868.68/x
  3. Step 3: Cross multiply
    10,966.24x = 16,415.32 × 8,868.68
  4. Step 4: Simplify right side
    10,966.24x = 145,582,220.18
  5. Step 5: Solve for x
    x = 145,582,220.18/10,966.24
  6. Step 6: Final answer
    x = 13,275.49

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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.