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Finding the Fourth Proportional to 8,646.88, 12,951.84 and 3,710.08

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Solution

The fourth proportional to 8,646.88, 12,951.84 and 3,710.08 is: 5,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.88 : 12,951.84 = 3,710.08 : x
  2. Step 2: Convert to fraction form
    8,646.88/12,951.84 = 3,710.08/x
  3. Step 3: Cross multiply
    8,646.88x = 12,951.84 × 3,710.08
  4. Step 4: Simplify right side
    8,646.88x = 48,052,362.55
  5. Step 5: Solve for x
    x = 48,052,362.55/8,646.88
  6. Step 6: Final answer
    x = 5,557.19

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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.