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Finding the Fourth Proportional to 7,347.80, 11,023.32 and 2,417.24

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Solution

The fourth proportional to 7,347.80, 11,023.32 and 2,417.24 is: 3,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.80 : 11,023.32 = 2,417.24 : x
  2. Step 2: Convert to fraction form
    7,347.80/11,023.32 = 2,417.24/x
  3. Step 3: Cross multiply
    7,347.80x = 11,023.32 × 2,417.24
  4. Step 4: Simplify right side
    7,347.80x = 26,646,010.04
  5. Step 5: Solve for x
    x = 26,646,010.04/7,347.80
  6. Step 6: Final answer
    x = 3,626.39

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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.