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Finding the Fourth Proportional to 7,346.70, 11,006.16 and 5,695.16

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Solution

The fourth proportional to 7,346.70, 11,006.16 and 5,695.16 is: 8,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.70 : 11,006.16 = 5,695.16 : x
  2. Step 2: Convert to fraction form
    7,346.70/11,006.16 = 5,695.16/x
  3. Step 3: Cross multiply
    7,346.70x = 11,006.16 × 5,695.16
  4. Step 4: Simplify right side
    7,346.70x = 62,681,842.19
  5. Step 5: Solve for x
    x = 62,681,842.19/7,346.70
  6. Step 6: Final answer
    x = 8,531.97

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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.