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Finding the Fourth Proportional to 8,897.68, 12,273.52 and 5,709.88

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Solution

The fourth proportional to 8,897.68, 12,273.52 and 5,709.88 is: 7,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.68 : 12,273.52 = 5,709.88 : x
  2. Step 2: Convert to fraction form
    8,897.68/12,273.52 = 5,709.88/x
  3. Step 3: Cross multiply
    8,897.68x = 12,273.52 × 5,709.88
  4. Step 4: Simplify right side
    8,897.68x = 70,080,326.38
  5. Step 5: Solve for x
    x = 70,080,326.38/8,897.68
  6. Step 6: Final answer
    x = 7,876.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.