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Finding the Fourth Proportional to 8,743.60, 12,066.06 and 4,764.61

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Solution

The fourth proportional to 8,743.60, 12,066.06 and 4,764.61 is: 6,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.60 : 12,066.06 = 4,764.61 : x
  2. Step 2: Convert to fraction form
    8,743.60/12,066.06 = 4,764.61/x
  3. Step 3: Cross multiply
    8,743.60x = 12,066.06 × 4,764.61
  4. Step 4: Simplify right side
    8,743.60x = 57,490,070.14
  5. Step 5: Solve for x
    x = 57,490,070.14/8,743.60
  6. Step 6: Final answer
    x = 6,575.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.