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Finding the Fourth Proportional to 7,472.30, 11,208.42 and 2,278.16

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Solution

The fourth proportional to 7,472.30, 11,208.42 and 2,278.16 is: 3,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.30 : 11,208.42 = 2,278.16 : x
  2. Step 2: Convert to fraction form
    7,472.30/11,208.42 = 2,278.16/x
  3. Step 3: Cross multiply
    7,472.30x = 11,208.42 × 2,278.16
  4. Step 4: Simplify right side
    7,472.30x = 25,534,574.11
  5. Step 5: Solve for x
    x = 25,534,574.11/7,472.30
  6. Step 6: Final answer
    x = 3,417.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.