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Finding the Fourth Proportional to 10,295.64, 15,437.61 and 3,274.29

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Solution

The fourth proportional to 10,295.64, 15,437.61 and 3,274.29 is: 4,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.64 : 15,437.61 = 3,274.29 : x
  2. Step 2: Convert to fraction form
    10,295.64/15,437.61 = 3,274.29/x
  3. Step 3: Cross multiply
    10,295.64x = 15,437.61 × 3,274.29
  4. Step 4: Simplify right side
    10,295.64x = 50,547,212.05
  5. Step 5: Solve for x
    x = 50,547,212.05/10,295.64
  6. Step 6: Final answer
    x = 4,909.57

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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.