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Finding the Fourth Proportional to 10,810.72, 16,194.48 and 9,897.04

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Solution

The fourth proportional to 10,810.72, 16,194.48 and 9,897.04 is: 14,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.72 : 16,194.48 = 9,897.04 : x
  2. Step 2: Convert to fraction form
    10,810.72/16,194.48 = 9,897.04/x
  3. Step 3: Cross multiply
    10,810.72x = 16,194.48 × 9,897.04
  4. Step 4: Simplify right side
    10,810.72x = 160,277,416.34
  5. Step 5: Solve for x
    x = 160,277,416.34/10,810.72
  6. Step 6: Final answer
    x = 14,825.79

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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.