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Finding the Fourth Proportional to 10,677.56, 16,005.19 and 3,655.50

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Solution

The fourth proportional to 10,677.56, 16,005.19 and 3,655.50 is: 5,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.56 : 16,005.19 = 3,655.50 : x
  2. Step 2: Convert to fraction form
    10,677.56/16,005.19 = 3,655.50/x
  3. Step 3: Cross multiply
    10,677.56x = 16,005.19 × 3,655.50
  4. Step 4: Simplify right side
    10,677.56x = 58,506,962.91
  5. Step 5: Solve for x
    x = 58,506,962.91/10,677.56
  6. Step 6: Final answer
    x = 5,479.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.