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Finding the Fourth Proportional to 8,422.83, 12,547.80 and 8,043.75

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Solution

The fourth proportional to 8,422.83, 12,547.80 and 8,043.75 is: 11,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.83 : 12,547.80 = 8,043.75 : x
  2. Step 2: Convert to fraction form
    8,422.83/12,547.80 = 8,043.75/x
  3. Step 3: Cross multiply
    8,422.83x = 12,547.80 × 8,043.75
  4. Step 4: Simplify right side
    8,422.83x = 100,931,366.25
  5. Step 5: Solve for x
    x = 100,931,366.25/8,422.83
  6. Step 6: Final answer
    x = 11,983.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.