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Finding the Fourth Proportional to 10,535.40, 15,803.10 and 10,049.40

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Solution

The fourth proportional to 10,535.40, 15,803.10 and 10,049.40 is: 15,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.40 : 15,803.10 = 10,049.40 : x
  2. Step 2: Convert to fraction form
    10,535.40/15,803.10 = 10,049.40/x
  3. Step 3: Cross multiply
    10,535.40x = 15,803.10 × 10,049.40
  4. Step 4: Simplify right side
    10,535.40x = 158,811,673.14
  5. Step 5: Solve for x
    x = 158,811,673.14/10,535.40
  6. Step 6: Final answer
    x = 15,074.10

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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.