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Finding the Fourth Proportional to 8,024.70, 12,036.48 and 2,477.46

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Solution

The fourth proportional to 8,024.70, 12,036.48 and 2,477.46 is: 3,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.70 : 12,036.48 = 2,477.46 : x
  2. Step 2: Convert to fraction form
    8,024.70/12,036.48 = 2,477.46/x
  3. Step 3: Cross multiply
    8,024.70x = 12,036.48 × 2,477.46
  4. Step 4: Simplify right side
    8,024.70x = 29,819,897.74
  5. Step 5: Solve for x
    x = 29,819,897.74/8,024.70
  6. Step 6: Final answer
    x = 3,716.01

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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.