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Finding the Fourth Proportional to 10,357.40, 15,536.10 and 7,074.20

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Solution

The fourth proportional to 10,357.40, 15,536.10 and 7,074.20 is: 10,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.40 : 15,536.10 = 7,074.20 : x
  2. Step 2: Convert to fraction form
    10,357.40/15,536.10 = 7,074.20/x
  3. Step 3: Cross multiply
    10,357.40x = 15,536.10 × 7,074.20
  4. Step 4: Simplify right side
    10,357.40x = 109,905,478.62
  5. Step 5: Solve for x
    x = 109,905,478.62/10,357.40
  6. Step 6: Final answer
    x = 10,611.30

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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.