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Finding the Fourth Proportional to 28,613.74, 42,920.61 and 8,887

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Solution

The fourth proportional to 28,613.74, 42,920.61 and 8,887 is: 13,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,613.74 : 42,920.61 = 8,887 : x
  2. Step 2: Convert to fraction form
    28,613.74/42,920.61 = 8,887/x
  3. Step 3: Cross multiply
    28,613.74x = 42,920.61 × 8,887
  4. Step 4: Simplify right side
    28,613.74x = 381,435,461.07
  5. Step 5: Solve for x
    x = 381,435,461.07/28,613.74
  6. Step 6: Final answer
    x = 13,330.50

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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.