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Finding the Fourth Proportional to 8,097.19, 11,172.17 and 4,560.40

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Solution

The fourth proportional to 8,097.19, 11,172.17 and 4,560.40 is: 6,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.19 : 11,172.17 = 4,560.40 : x
  2. Step 2: Convert to fraction form
    8,097.19/11,172.17 = 4,560.40/x
  3. Step 3: Cross multiply
    8,097.19x = 11,172.17 × 4,560.40
  4. Step 4: Simplify right side
    8,097.19x = 50,949,513.34
  5. Step 5: Solve for x
    x = 50,949,513.34/8,097.19
  6. Step 6: Final answer
    x = 6,292.25

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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.