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Finding the Fourth Proportional to 10,468.32, 15,693.84 and 4,308

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Solution

The fourth proportional to 10,468.32, 15,693.84 and 4,308 is: 6,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.32 : 15,693.84 = 4,308 : x
  2. Step 2: Convert to fraction form
    10,468.32/15,693.84 = 4,308/x
  3. Step 3: Cross multiply
    10,468.32x = 15,693.84 × 4,308
  4. Step 4: Simplify right side
    10,468.32x = 67,609,062.72
  5. Step 5: Solve for x
    x = 67,609,062.72/10,468.32
  6. Step 6: Final answer
    x = 6,458.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.