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Finding the Fourth Proportional to 8,724.79, 12,040.03 and 4,746

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Solution

The fourth proportional to 8,724.79, 12,040.03 and 4,746 is: 6,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.79 : 12,040.03 = 4,746 : x
  2. Step 2: Convert to fraction form
    8,724.79/12,040.03 = 4,746/x
  3. Step 3: Cross multiply
    8,724.79x = 12,040.03 × 4,746
  4. Step 4: Simplify right side
    8,724.79x = 57,141,970.52
  5. Step 5: Solve for x
    x = 57,141,970.52/8,724.79
  6. Step 6: Final answer
    x = 6,549.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.