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Finding the Fourth Proportional to 8,242.11, 12,360.74 and 4,731.50

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Solution

The fourth proportional to 8,242.11, 12,360.74 and 4,731.50 is: 7,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.11 : 12,360.74 = 4,731.50 : x
  2. Step 2: Convert to fraction form
    8,242.11/12,360.74 = 4,731.50/x
  3. Step 3: Cross multiply
    8,242.11x = 12,360.74 × 4,731.50
  4. Step 4: Simplify right side
    8,242.11x = 58,484,848.55
  5. Step 5: Solve for x
    x = 58,484,848.55/8,242.11
  6. Step 6: Final answer
    x = 7,095.86

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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.