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Finding the Fourth Proportional to 10,678.64, 16,017.84 and 3,658.56

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Solution

The fourth proportional to 10,678.64, 16,017.84 and 3,658.56 is: 5,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.64 : 16,017.84 = 3,658.56 : x
  2. Step 2: Convert to fraction form
    10,678.64/16,017.84 = 3,658.56/x
  3. Step 3: Cross multiply
    10,678.64x = 16,017.84 × 3,658.56
  4. Step 4: Simplify right side
    10,678.64x = 58,602,228.71
  5. Step 5: Solve for x
    x = 58,602,228.71/10,678.64
  6. Step 6: Final answer
    x = 5,487.80

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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.