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Finding the Fourth Proportional to 10,743.84, 16,106.40 and 8,660.16

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Solution

The fourth proportional to 10,743.84, 16,106.40 and 8,660.16 is: 12,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.84 : 16,106.40 = 8,660.16 : x
  2. Step 2: Convert to fraction form
    10,743.84/16,106.40 = 8,660.16/x
  3. Step 3: Cross multiply
    10,743.84x = 16,106.40 × 8,660.16
  4. Step 4: Simplify right side
    10,743.84x = 139,484,001.02
  5. Step 5: Solve for x
    x = 139,484,001.02/10,743.84
  6. Step 6: Final answer
    x = 12,982.70

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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.