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Finding the Fourth Proportional to 7,097.95, 10,648.41 and 2,417.59

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Solution

The fourth proportional to 7,097.95, 10,648.41 and 2,417.59 is: 3,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.95 : 10,648.41 = 2,417.59 : x
  2. Step 2: Convert to fraction form
    7,097.95/10,648.41 = 2,417.59/x
  3. Step 3: Cross multiply
    7,097.95x = 10,648.41 × 2,417.59
  4. Step 4: Simplify right side
    7,097.95x = 25,743,489.53
  5. Step 5: Solve for x
    x = 25,743,489.53/7,097.95
  6. Step 6: Final answer
    x = 3,626.89

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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.