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Finding the Fourth Proportional to 7,877.86, 10,873.24 and 5,366.05

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Solution

The fourth proportional to 7,877.86, 10,873.24 and 5,366.05 is: 7,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.86 : 10,873.24 = 5,366.05 : x
  2. Step 2: Convert to fraction form
    7,877.86/10,873.24 = 5,366.05/x
  3. Step 3: Cross multiply
    7,877.86x = 10,873.24 × 5,366.05
  4. Step 4: Simplify right side
    7,877.86x = 58,346,308.90
  5. Step 5: Solve for x
    x = 58,346,308.90/7,877.86
  6. Step 6: Final answer
    x = 7,406.37

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1.5x scale

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.