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Finding the Fourth Proportional to 10,455.16, 15,683.22 and 3,529.72

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Solution

The fourth proportional to 10,455.16, 15,683.22 and 3,529.72 is: 5,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.16 : 15,683.22 = 3,529.72 : x
  2. Step 2: Convert to fraction form
    10,455.16/15,683.22 = 3,529.72/x
  3. Step 3: Cross multiply
    10,455.16x = 15,683.22 × 3,529.72
  4. Step 4: Simplify right side
    10,455.16x = 55,357,375.30
  5. Step 5: Solve for x
    x = 55,357,375.30/10,455.16
  6. Step 6: Final answer
    x = 5,294.74

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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.