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Finding the Fourth Proportional to 8,738.24, 12,047.68 and 5,903.68

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Solution

The fourth proportional to 8,738.24, 12,047.68 and 5,903.68 is: 8,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.24 : 12,047.68 = 5,903.68 : x
  2. Step 2: Convert to fraction form
    8,738.24/12,047.68 = 5,903.68/x
  3. Step 3: Cross multiply
    8,738.24x = 12,047.68 × 5,903.68
  4. Step 4: Simplify right side
    8,738.24x = 71,125,647.46
  5. Step 5: Solve for x
    x = 71,125,647.46/8,738.24
  6. Step 6: Final answer
    x = 8,139.59

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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.