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Finding the Fourth Proportional to 8,444.15, 11,646.27 and 7,878.25

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Solution

The fourth proportional to 8,444.15, 11,646.27 and 7,878.25 is: 10,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.15 : 11,646.27 = 7,878.25 : x
  2. Step 2: Convert to fraction form
    8,444.15/11,646.27 = 7,878.25/x
  3. Step 3: Cross multiply
    8,444.15x = 11,646.27 × 7,878.25
  4. Step 4: Simplify right side
    8,444.15x = 91,752,226.63
  5. Step 5: Solve for x
    x = 91,752,226.63/8,444.15
  6. Step 6: Final answer
    x = 10,865.77

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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.