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Finding the Fourth Proportional to 7,897.71, 11,845.14 and 2,053.96

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Solution

The fourth proportional to 7,897.71, 11,845.14 and 2,053.96 is: 3,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.71 : 11,845.14 = 2,053.96 : x
  2. Step 2: Convert to fraction form
    7,897.71/11,845.14 = 2,053.96/x
  3. Step 3: Cross multiply
    7,897.71x = 11,845.14 × 2,053.96
  4. Step 4: Simplify right side
    7,897.71x = 24,329,443.75
  5. Step 5: Solve for x
    x = 24,329,443.75/7,897.71
  6. Step 6: Final answer
    x = 3,080.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.