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Finding the Fourth Proportional to 10,883.44, 16,347.04 and 9,511.10

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Solution

The fourth proportional to 10,883.44, 16,347.04 and 9,511.10 is: 14,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.44 : 16,347.04 = 9,511.10 : x
  2. Step 2: Convert to fraction form
    10,883.44/16,347.04 = 9,511.10/x
  3. Step 3: Cross multiply
    10,883.44x = 16,347.04 × 9,511.10
  4. Step 4: Simplify right side
    10,883.44x = 155,478,332.14
  5. Step 5: Solve for x
    x = 155,478,332.14/10,883.44
  6. Step 6: Final answer
    x = 14,285.77

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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.