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Finding the Fourth Proportional to 10,482.44, 15,727.98 and 7,723.04

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Solution

The fourth proportional to 10,482.44, 15,727.98 and 7,723.04 is: 11,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.44 : 15,727.98 = 7,723.04 : x
  2. Step 2: Convert to fraction form
    10,482.44/15,727.98 = 7,723.04/x
  3. Step 3: Cross multiply
    10,482.44x = 15,727.98 × 7,723.04
  4. Step 4: Simplify right side
    10,482.44x = 121,467,818.66
  5. Step 5: Solve for x
    x = 121,467,818.66/10,482.44
  6. Step 6: Final answer
    x = 11,587.74

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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.