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Finding the Fourth Proportional to 10,494.32, 15,741.48 and 2,703.20

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Solution

The fourth proportional to 10,494.32, 15,741.48 and 2,703.20 is: 4,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.32 : 15,741.48 = 2,703.20 : x
  2. Step 2: Convert to fraction form
    10,494.32/15,741.48 = 2,703.20/x
  3. Step 3: Cross multiply
    10,494.32x = 15,741.48 × 2,703.20
  4. Step 4: Simplify right side
    10,494.32x = 42,552,368.74
  5. Step 5: Solve for x
    x = 42,552,368.74/10,494.32
  6. Step 6: Final answer
    x = 4,054.80

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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.