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Finding the Fourth Proportional to 7,347.69, 11,023.13 and 2,417.09

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Solution

The fourth proportional to 7,347.69, 11,023.13 and 2,417.09 is: 3,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.69 : 11,023.13 = 2,417.09 : x
  2. Step 2: Convert to fraction form
    7,347.69/11,023.13 = 2,417.09/x
  3. Step 3: Cross multiply
    7,347.69x = 11,023.13 × 2,417.09
  4. Step 4: Simplify right side
    7,347.69x = 26,643,848.22
  5. Step 5: Solve for x
    x = 26,643,848.22/7,347.69
  6. Step 6: Final answer
    x = 3,626.15

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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.