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Finding the Fourth Proportional to 8,403.84, 12,602.52 and 2,856.24

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Solution

The fourth proportional to 8,403.84, 12,602.52 and 2,856.24 is: 4,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.84 : 12,602.52 = 2,856.24 : x
  2. Step 2: Convert to fraction form
    8,403.84/12,602.52 = 2,856.24/x
  3. Step 3: Cross multiply
    8,403.84x = 12,602.52 × 2,856.24
  4. Step 4: Simplify right side
    8,403.84x = 35,995,821.72
  5. Step 5: Solve for x
    x = 35,995,821.72/8,403.84
  6. Step 6: Final answer
    x = 4,283.26

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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.