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Finding the Fourth Proportional to 10,468.62, 15,703.20 and 2,677.50

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Solution

The fourth proportional to 10,468.62, 15,703.20 and 2,677.50 is: 4,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.62 : 15,703.20 = 2,677.50 : x
  2. Step 2: Convert to fraction form
    10,468.62/15,703.20 = 2,677.50/x
  3. Step 3: Cross multiply
    10,468.62x = 15,703.20 × 2,677.50
  4. Step 4: Simplify right side
    10,468.62x = 42,045,318
  5. Step 5: Solve for x
    x = 42,045,318/10,468.62
  6. Step 6: Final answer
    x = 4,016.32

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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.