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Finding the Fourth Proportional to 10,759.77, 14,848.56 and 6,283.71

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Solution

The fourth proportional to 10,759.77, 14,848.56 and 6,283.71 is: 8,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.77 : 14,848.56 = 6,283.71 : x
  2. Step 2: Convert to fraction form
    10,759.77/14,848.56 = 6,283.71/x
  3. Step 3: Cross multiply
    10,759.77x = 14,848.56 × 6,283.71
  4. Step 4: Simplify right side
    10,759.77x = 93,304,044.96
  5. Step 5: Solve for x
    x = 93,304,044.96/10,759.77
  6. Step 6: Final answer
    x = 8,671.57

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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.