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Finding the Fourth Proportional to 11,231.46, 15,501.78 and 7,699.32

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Solution

The fourth proportional to 11,231.46, 15,501.78 and 7,699.32 is: 10,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.46 : 15,501.78 = 7,699.32 : x
  2. Step 2: Convert to fraction form
    11,231.46/15,501.78 = 7,699.32/x
  3. Step 3: Cross multiply
    11,231.46x = 15,501.78 × 7,699.32
  4. Step 4: Simplify right side
    11,231.46x = 119,353,164.79
  5. Step 5: Solve for x
    x = 119,353,164.79/11,231.46
  6. Step 6: Final answer
    x = 10,626.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.