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Finding the Fourth Proportional to 7,664.09, 10,572.53 and 5,146.74

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Solution

The fourth proportional to 7,664.09, 10,572.53 and 5,146.74 is: 7,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.09 : 10,572.53 = 5,146.74 : x
  2. Step 2: Convert to fraction form
    7,664.09/10,572.53 = 5,146.74/x
  3. Step 3: Cross multiply
    7,664.09x = 10,572.53 × 5,146.74
  4. Step 4: Simplify right side
    7,664.09x = 54,414,037.32
  5. Step 5: Solve for x
    x = 54,414,037.32/7,664.09
  6. Step 6: Final answer
    x = 7,099.87

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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.