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Finding the Fourth Proportional to 10,854.26, 14,978.88 and 5,886.26

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Solution

The fourth proportional to 10,854.26, 14,978.88 and 5,886.26 is: 8,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.26 : 14,978.88 = 5,886.26 : x
  2. Step 2: Convert to fraction form
    10,854.26/14,978.88 = 5,886.26/x
  3. Step 3: Cross multiply
    10,854.26x = 14,978.88 × 5,886.26
  4. Step 4: Simplify right side
    10,854.26x = 88,169,582.19
  5. Step 5: Solve for x
    x = 88,169,582.19/10,854.26
  6. Step 6: Final answer
    x = 8,123.04

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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.