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Finding the Fourth Proportional to 8,084.40, 11,157.12 and 4,547.40

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Solution

The fourth proportional to 8,084.40, 11,157.12 and 4,547.40 is: 6,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.40 : 11,157.12 = 4,547.40 : x
  2. Step 2: Convert to fraction form
    8,084.40/11,157.12 = 4,547.40/x
  3. Step 3: Cross multiply
    8,084.40x = 11,157.12 × 4,547.40
  4. Step 4: Simplify right side
    8,084.40x = 50,735,887.49
  5. Step 5: Solve for x
    x = 50,735,887.49/8,084.40
  6. Step 6: Final answer
    x = 6,275.78

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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.