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Finding the Fourth Proportional to 10,587.90, 14,612.76 and 8,066.46

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Solution

The fourth proportional to 10,587.90, 14,612.76 and 8,066.46 is: 11,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.90 : 14,612.76 = 8,066.46 : x
  2. Step 2: Convert to fraction form
    10,587.90/14,612.76 = 8,066.46/x
  3. Step 3: Cross multiply
    10,587.90x = 14,612.76 × 8,066.46
  4. Step 4: Simplify right side
    10,587.90x = 117,873,244.03
  5. Step 5: Solve for x
    x = 117,873,244.03/10,587.90
  6. Step 6: Final answer
    x = 11,132.83

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