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Finding the Fourth Proportional to 10,274.19, 15,411.30 and 7,358.19

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Solution

The fourth proportional to 10,274.19, 15,411.30 and 7,358.19 is: 11,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.19 : 15,411.30 = 7,358.19 : x
  2. Step 2: Convert to fraction form
    10,274.19/15,411.30 = 7,358.19/x
  3. Step 3: Cross multiply
    10,274.19x = 15,411.30 × 7,358.19
  4. Step 4: Simplify right side
    10,274.19x = 113,399,273.55
  5. Step 5: Solve for x
    x = 113,399,273.55/10,274.19
  6. Step 6: Final answer
    x = 11,037.30

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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.