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Finding the Fourth Proportional to 7,877.30, 10,870.74 and 4,340.52

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Solution

The fourth proportional to 7,877.30, 10,870.74 and 4,340.52 is: 5,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.30 : 10,870.74 = 4,340.52 : x
  2. Step 2: Convert to fraction form
    7,877.30/10,870.74 = 4,340.52/x
  3. Step 3: Cross multiply
    7,877.30x = 10,870.74 × 4,340.52
  4. Step 4: Simplify right side
    7,877.30x = 47,184,664.38
  5. Step 5: Solve for x
    x = 47,184,664.38/7,877.30
  6. Step 6: Final answer
    x = 5,989.96

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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.