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Finding the Fourth Proportional to 8,724.88, 12,040.12 and 4,746

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Solution

The fourth proportional to 8,724.88, 12,040.12 and 4,746 is: 6,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.88 : 12,040.12 = 4,746 : x
  2. Step 2: Convert to fraction form
    8,724.88/12,040.12 = 4,746/x
  3. Step 3: Cross multiply
    8,724.88x = 12,040.12 × 4,746
  4. Step 4: Simplify right side
    8,724.88x = 57,142,409.52
  5. Step 5: Solve for x
    x = 57,142,409.52/8,724.88
  6. Step 6: Final answer
    x = 6,549.36

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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.