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Finding the Fourth Proportional to 8,014.95, 12,001.42 and 5,233.81

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Solution

The fourth proportional to 8,014.95, 12,001.42 and 5,233.81 is: 7,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.95 : 12,001.42 = 5,233.81 : x
  2. Step 2: Convert to fraction form
    8,014.95/12,001.42 = 5,233.81/x
  3. Step 3: Cross multiply
    8,014.95x = 12,001.42 × 5,233.81
  4. Step 4: Simplify right side
    8,014.95x = 62,813,152.01
  5. Step 5: Solve for x
    x = 62,813,152.01/8,014.95
  6. Step 6: Final answer
    x = 7,837.00

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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.