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Finding the Fourth Proportional to 11,624.16, 16,042.80 and 7,430.88

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Solution

The fourth proportional to 11,624.16, 16,042.80 and 7,430.88 is: 10,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.16 : 16,042.80 = 7,430.88 : x
  2. Step 2: Convert to fraction form
    11,624.16/16,042.80 = 7,430.88/x
  3. Step 3: Cross multiply
    11,624.16x = 16,042.80 × 7,430.88
  4. Step 4: Simplify right side
    11,624.16x = 119,212,121.66
  5. Step 5: Solve for x
    x = 119,212,121.66/11,624.16
  6. Step 6: Final answer
    x = 10,255.55

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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.