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Finding the Fourth Proportional to 10,312.74, 15,434.04 and 6,366.48

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Solution

The fourth proportional to 10,312.74, 15,434.04 and 6,366.48 is: 9,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.74 : 15,434.04 = 6,366.48 : x
  2. Step 2: Convert to fraction form
    10,312.74/15,434.04 = 6,366.48/x
  3. Step 3: Cross multiply
    10,312.74x = 15,434.04 × 6,366.48
  4. Step 4: Simplify right side
    10,312.74x = 98,260,506.98
  5. Step 5: Solve for x
    x = 98,260,506.98/10,312.74
  6. Step 6: Final answer
    x = 9,528.07

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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.