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Finding the Fourth Proportional to 7,743.16, 10,689.99 and 5,098.25

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Solution

The fourth proportional to 7,743.16, 10,689.99 and 5,098.25 is: 7,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.16 : 10,689.99 = 5,098.25 : x
  2. Step 2: Convert to fraction form
    7,743.16/10,689.99 = 5,098.25/x
  3. Step 3: Cross multiply
    7,743.16x = 10,689.99 × 5,098.25
  4. Step 4: Simplify right side
    7,743.16x = 54,500,216.03
  5. Step 5: Solve for x
    x = 54,500,216.03/7,743.16
  6. Step 6: Final answer
    x = 7,038.50

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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.