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Finding the Fourth Proportional to 8,771.59, 12,106.65 and 5,787.82

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Solution

The fourth proportional to 8,771.59, 12,106.65 and 5,787.82 is: 7,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.59 : 12,106.65 = 5,787.82 : x
  2. Step 2: Convert to fraction form
    8,771.59/12,106.65 = 5,787.82/x
  3. Step 3: Cross multiply
    8,771.59x = 12,106.65 × 5,787.82
  4. Step 4: Simplify right side
    8,771.59x = 70,071,111.00
  5. Step 5: Solve for x
    x = 70,071,111.00/8,771.59
  6. Step 6: Final answer
    x = 7,988.42

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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.