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Finding the Fourth Proportional to 7,877.15, 10,870.43 and 4,292.32

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Solution

The fourth proportional to 7,877.15, 10,870.43 and 4,292.32 is: 5,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.15 : 10,870.43 = 4,292.32 : x
  2. Step 2: Convert to fraction form
    7,877.15/10,870.43 = 4,292.32/x
  3. Step 3: Cross multiply
    7,877.15x = 10,870.43 × 4,292.32
  4. Step 4: Simplify right side
    7,877.15x = 46,659,317.34
  5. Step 5: Solve for x
    x = 46,659,317.34/7,877.15
  6. Step 6: Final answer
    x = 5,923.38

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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.