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Finding the Fourth Proportional to 7,574.34, 11,346.11 and 5,605.83

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Solution

The fourth proportional to 7,574.34, 11,346.11 and 5,605.83 is: 8,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.34 : 11,346.11 = 5,605.83 : x
  2. Step 2: Convert to fraction form
    7,574.34/11,346.11 = 5,605.83/x
  3. Step 3: Cross multiply
    7,574.34x = 11,346.11 × 5,605.83
  4. Step 4: Simplify right side
    7,574.34x = 63,604,406.20
  5. Step 5: Solve for x
    x = 63,604,406.20/7,574.34
  6. Step 6: Final answer
    x = 8,397.36

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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.