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Finding the Fourth Proportional to 8,542.34, 12,798.93 and 4,639.76

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Solution

The fourth proportional to 8,542.34, 12,798.93 and 4,639.76 is: 6,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.34 : 12,798.93 = 4,639.76 : x
  2. Step 2: Convert to fraction form
    8,542.34/12,798.93 = 4,639.76/x
  3. Step 3: Cross multiply
    8,542.34x = 12,798.93 × 4,639.76
  4. Step 4: Simplify right side
    8,542.34x = 59,383,963.46
  5. Step 5: Solve for x
    x = 59,383,963.46/8,542.34
  6. Step 6: Final answer
    x = 6,951.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.