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Finding the Fourth Proportional to 7,554.92, 10,424.66 and 4,197.74

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Solution

The fourth proportional to 7,554.92, 10,424.66 and 4,197.74 is: 5,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.92 : 10,424.66 = 4,197.74 : x
  2. Step 2: Convert to fraction form
    7,554.92/10,424.66 = 4,197.74/x
  3. Step 3: Cross multiply
    7,554.92x = 10,424.66 × 4,197.74
  4. Step 4: Simplify right side
    7,554.92x = 43,759,939.16
  5. Step 5: Solve for x
    x = 43,759,939.16/7,554.92
  6. Step 6: Final answer
    x = 5,792.25

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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.