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Finding the Fourth Proportional to 8,781.42, 13,180.36 and 4,624.50

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Solution

The fourth proportional to 8,781.42, 13,180.36 and 4,624.50 is: 6,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.42 : 13,180.36 = 4,624.50 : x
  2. Step 2: Convert to fraction form
    8,781.42/13,180.36 = 4,624.50/x
  3. Step 3: Cross multiply
    8,781.42x = 13,180.36 × 4,624.50
  4. Step 4: Simplify right side
    8,781.42x = 60,952,574.82
  5. Step 5: Solve for x
    x = 60,952,574.82/8,781.42
  6. Step 6: Final answer
    x = 6,941.08

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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.