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Finding the Fourth Proportional to 8,132.75, 11,223.14 and 4,547.70

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Solution

The fourth proportional to 8,132.75, 11,223.14 and 4,547.70 is: 6,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.75 : 11,223.14 = 4,547.70 : x
  2. Step 2: Convert to fraction form
    8,132.75/11,223.14 = 4,547.70/x
  3. Step 3: Cross multiply
    8,132.75x = 11,223.14 × 4,547.70
  4. Step 4: Simplify right side
    8,132.75x = 51,039,451.04
  5. Step 5: Solve for x
    x = 51,039,451.04/8,132.75
  6. Step 6: Final answer
    x = 6,275.80

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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.