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Finding the Fourth Proportional to 10,883.76, 16,347.24 and 9,323.16

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Solution

The fourth proportional to 10,883.76, 16,347.24 and 9,323.16 is: 14,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.76 : 16,347.24 = 9,323.16 : x
  2. Step 2: Convert to fraction form
    10,883.76/16,347.24 = 9,323.16/x
  3. Step 3: Cross multiply
    10,883.76x = 16,347.24 × 9,323.16
  4. Step 4: Simplify right side
    10,883.76x = 152,407,934.08
  5. Step 5: Solve for x
    x = 152,407,934.08/10,883.76
  6. Step 6: Final answer
    x = 14,003.24

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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.