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Finding the Fourth Proportional to 7,098.14, 10,648.49 and 2,935.89

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Solution

The fourth proportional to 7,098.14, 10,648.49 and 2,935.89 is: 4,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.14 : 10,648.49 = 2,935.89 : x
  2. Step 2: Convert to fraction form
    7,098.14/10,648.49 = 2,935.89/x
  3. Step 3: Cross multiply
    7,098.14x = 10,648.49 × 2,935.89
  4. Step 4: Simplify right side
    7,098.14x = 31,262,776.02
  5. Step 5: Solve for x
    x = 31,262,776.02/7,098.14
  6. Step 6: Final answer
    x = 4,404.36

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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.