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Finding the Fourth Proportional to 8,139.68, 11,232 and 4,603.20

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Solution

The fourth proportional to 8,139.68, 11,232 and 4,603.20 is: 6,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.68 : 11,232 = 4,603.20 : x
  2. Step 2: Convert to fraction form
    8,139.68/11,232 = 4,603.20/x
  3. Step 3: Cross multiply
    8,139.68x = 11,232 × 4,603.20
  4. Step 4: Simplify right side
    8,139.68x = 51,703,142.40
  5. Step 5: Solve for x
    x = 51,703,142.40/8,139.68
  6. Step 6: Final answer
    x = 6,351.99

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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.