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Finding the Fourth Proportional to 7,097.84, 10,647.92 and 2,417.36

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Solution

The fourth proportional to 7,097.84, 10,647.92 and 2,417.36 is: 3,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.84 : 10,647.92 = 2,417.36 : x
  2. Step 2: Convert to fraction form
    7,097.84/10,647.92 = 2,417.36/x
  3. Step 3: Cross multiply
    7,097.84x = 10,647.92 × 2,417.36
  4. Step 4: Simplify right side
    7,097.84x = 25,739,855.89
  5. Step 5: Solve for x
    x = 25,739,855.89/7,097.84
  6. Step 6: Final answer
    x = 3,626.44

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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.