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Finding the Fourth Proportional to 7,742.99, 10,689.76 and 5,098.09

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Solution

The fourth proportional to 7,742.99, 10,689.76 and 5,098.09 is: 7,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.99 : 10,689.76 = 5,098.09 : x
  2. Step 2: Convert to fraction form
    7,742.99/10,689.76 = 5,098.09/x
  3. Step 3: Cross multiply
    7,742.99x = 10,689.76 × 5,098.09
  4. Step 4: Simplify right side
    7,742.99x = 54,497,319.09
  5. Step 5: Solve for x
    x = 54,497,319.09/7,742.99
  6. Step 6: Final answer
    x = 7,038.28

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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.