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Finding the Fourth Proportional to 10,612.77, 14,647.43 and 6,139.25

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Solution

The fourth proportional to 10,612.77, 14,647.43 and 6,139.25 is: 8,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.77 : 14,647.43 = 6,139.25 : x
  2. Step 2: Convert to fraction form
    10,612.77/14,647.43 = 6,139.25/x
  3. Step 3: Cross multiply
    10,612.77x = 14,647.43 × 6,139.25
  4. Step 4: Simplify right side
    10,612.77x = 89,924,130.69
  5. Step 5: Solve for x
    x = 89,924,130.69/10,612.77
  6. Step 6: Final answer
    x = 8,473.20

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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.