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Finding the Fourth Proportional to 8,566.60, 12,841.80 and 5,059.30

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Solution

The fourth proportional to 8,566.60, 12,841.80 and 5,059.30 is: 7,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.60 : 12,841.80 = 5,059.30 : x
  2. Step 2: Convert to fraction form
    8,566.60/12,841.80 = 5,059.30/x
  3. Step 3: Cross multiply
    8,566.60x = 12,841.80 × 5,059.30
  4. Step 4: Simplify right side
    8,566.60x = 64,970,518.74
  5. Step 5: Solve for x
    x = 64,970,518.74/8,566.60
  6. Step 6: Final answer
    x = 7,584.17

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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.