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Finding the Fourth Proportional to 7,744.37, 10,691.64 and 5,099.46

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Solution

The fourth proportional to 7,744.37, 10,691.64 and 5,099.46 is: 7,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.37 : 10,691.64 = 5,099.46 : x
  2. Step 2: Convert to fraction form
    7,744.37/10,691.64 = 5,099.46/x
  3. Step 3: Cross multiply
    7,744.37x = 10,691.64 × 5,099.46
  4. Step 4: Simplify right side
    7,744.37x = 54,521,590.51
  5. Step 5: Solve for x
    x = 54,521,590.51/7,744.37
  6. Step 6: Final answer
    x = 7,040.16

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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.