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Finding the Fourth Proportional to 8,977.68, 12,387.74 and 4,998.70

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Solution

The fourth proportional to 8,977.68, 12,387.74 and 4,998.70 is: 6,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.68 : 12,387.74 = 4,998.70 : x
  2. Step 2: Convert to fraction form
    8,977.68/12,387.74 = 4,998.70/x
  3. Step 3: Cross multiply
    8,977.68x = 12,387.74 × 4,998.70
  4. Step 4: Simplify right side
    8,977.68x = 61,922,595.94
  5. Step 5: Solve for x
    x = 61,922,595.94/8,977.68
  6. Step 6: Final answer
    x = 6,897.39

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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.