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Finding the Fourth Proportional to 10,460.97, 14,436.08 and 5,680.87

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Solution

The fourth proportional to 10,460.97, 14,436.08 and 5,680.87 is: 7,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.97 : 14,436.08 = 5,680.87 : x
  2. Step 2: Convert to fraction form
    10,460.97/14,436.08 = 5,680.87/x
  3. Step 3: Cross multiply
    10,460.97x = 14,436.08 × 5,680.87
  4. Step 4: Simplify right side
    10,460.97x = 82,009,393.20
  5. Step 5: Solve for x
    x = 82,009,393.20/10,460.97
  6. Step 6: Final answer
    x = 7,839.56

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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.