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Finding the Fourth Proportional to 12,040.48, 18,061.53 and 4,645

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Solution

The fourth proportional to 12,040.48, 18,061.53 and 4,645 is: 6,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040.48 : 18,061.53 = 4,645 : x
  2. Step 2: Convert to fraction form
    12,040.48/18,061.53 = 4,645/x
  3. Step 3: Cross multiply
    12,040.48x = 18,061.53 × 4,645
  4. Step 4: Simplify right side
    12,040.48x = 83,895,806.85
  5. Step 5: Solve for x
    x = 83,895,806.85/12,040.48
  6. Step 6: Final answer
    x = 6,967.81

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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.