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Finding the Fourth Proportional to 10,779.84, 14,843.52 and 9,204.48

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Solution

The fourth proportional to 10,779.84, 14,843.52 and 9,204.48 is: 12,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.84 : 14,843.52 = 9,204.48 : x
  2. Step 2: Convert to fraction form
    10,779.84/14,843.52 = 9,204.48/x
  3. Step 3: Cross multiply
    10,779.84x = 14,843.52 × 9,204.48
  4. Step 4: Simplify right side
    10,779.84x = 136,626,882.97
  5. Step 5: Solve for x
    x = 136,626,882.97/10,779.84
  6. Step 6: Final answer
    x = 12,674.30

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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.