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Finding the Fourth Proportional to 10,103.58, 15,157.80 and 3,178.08

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Solution

The fourth proportional to 10,103.58, 15,157.80 and 3,178.08 is: 4,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.58 : 15,157.80 = 3,178.08 : x
  2. Step 2: Convert to fraction form
    10,103.58/15,157.80 = 3,178.08/x
  3. Step 3: Cross multiply
    10,103.58x = 15,157.80 × 3,178.08
  4. Step 4: Simplify right side
    10,103.58x = 48,172,701.02
  5. Step 5: Solve for x
    x = 48,172,701.02/10,103.58
  6. Step 6: Final answer
    x = 4,767.88

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