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Finding the Fourth Proportional to 8,465.31, 11,682.10 and 4,880.25

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Solution

The fourth proportional to 8,465.31, 11,682.10 and 4,880.25 is: 6,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.31 : 11,682.10 = 4,880.25 : x
  2. Step 2: Convert to fraction form
    8,465.31/11,682.10 = 4,880.25/x
  3. Step 3: Cross multiply
    8,465.31x = 11,682.10 × 4,880.25
  4. Step 4: Simplify right side
    8,465.31x = 57,011,539.38
  5. Step 5: Solve for x
    x = 57,011,539.38/8,465.31
  6. Step 6: Final answer
    x = 6,734.72

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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.