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Finding the Fourth Proportional to 7,549.47, 10,418.08 and 4,192.19

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Solution

The fourth proportional to 7,549.47, 10,418.08 and 4,192.19 is: 5,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.47 : 10,418.08 = 4,192.19 : x
  2. Step 2: Convert to fraction form
    7,549.47/10,418.08 = 4,192.19/x
  3. Step 3: Cross multiply
    7,549.47x = 10,418.08 × 4,192.19
  4. Step 4: Simplify right side
    7,549.47x = 43,674,570.80
  5. Step 5: Solve for x
    x = 43,674,570.80/7,549.47
  6. Step 6: Final answer
    x = 5,785.12

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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.