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Finding the Fourth Proportional to 10,506.26, 15,754.25 and 3,483.91

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Solution

The fourth proportional to 10,506.26, 15,754.25 and 3,483.91 is: 5,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.26 : 15,754.25 = 3,483.91 : x
  2. Step 2: Convert to fraction form
    10,506.26/15,754.25 = 3,483.91/x
  3. Step 3: Cross multiply
    10,506.26x = 15,754.25 × 3,483.91
  4. Step 4: Simplify right side
    10,506.26x = 54,886,397.92
  5. Step 5: Solve for x
    x = 54,886,397.92/10,506.26
  6. Step 6: Final answer
    x = 5,224.16

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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.