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Finding the Fourth Proportional to 10,061.97, 13,885.32 and 5,585.77

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Solution

The fourth proportional to 10,061.97, 13,885.32 and 5,585.77 is: 7,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.97 : 13,885.32 = 5,585.77 : x
  2. Step 2: Convert to fraction form
    10,061.97/13,885.32 = 5,585.77/x
  3. Step 3: Cross multiply
    10,061.97x = 13,885.32 × 5,585.77
  4. Step 4: Simplify right side
    10,061.97x = 77,560,203.90
  5. Step 5: Solve for x
    x = 77,560,203.90/10,061.97
  6. Step 6: Final answer
    x = 7,708.25

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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.