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Finding the Fourth Proportional to 10,358.28, 15,428.34 and 10,142.28

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Solution

The fourth proportional to 10,358.28, 15,428.34 and 10,142.28 is: 15,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.28 : 15,428.34 = 10,142.28 : x
  2. Step 2: Convert to fraction form
    10,358.28/15,428.34 = 10,142.28/x
  3. Step 3: Cross multiply
    10,358.28x = 15,428.34 × 10,142.28
  4. Step 4: Simplify right side
    10,358.28x = 156,478,544.22
  5. Step 5: Solve for x
    x = 156,478,544.22/10,358.28
  6. Step 6: Final answer
    x = 15,106.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.