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Finding the Fourth Proportional to 7,097.34, 10,647.17 and 2,416.87

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Solution

The fourth proportional to 7,097.34, 10,647.17 and 2,416.87 is: 3,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.34 : 10,647.17 = 2,416.87 : x
  2. Step 2: Convert to fraction form
    7,097.34/10,647.17 = 2,416.87/x
  3. Step 3: Cross multiply
    7,097.34x = 10,647.17 × 2,416.87
  4. Step 4: Simplify right side
    7,097.34x = 25,732,825.76
  5. Step 5: Solve for x
    x = 25,732,825.76/7,097.34
  6. Step 6: Final answer
    x = 3,625.70

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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.