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Finding the Fourth Proportional to 8,724.66, 12,038.86 and 5,186.58

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Solution

The fourth proportional to 8,724.66, 12,038.86 and 5,186.58 is: 7,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.66 : 12,038.86 = 5,186.58 : x
  2. Step 2: Convert to fraction form
    8,724.66/12,038.86 = 5,186.58/x
  3. Step 3: Cross multiply
    8,724.66x = 12,038.86 × 5,186.58
  4. Step 4: Simplify right side
    8,724.66x = 62,440,510.50
  5. Step 5: Solve for x
    x = 62,440,510.50/8,724.66
  6. Step 6: Final answer
    x = 7,156.78

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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.