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Finding the Fourth Proportional to 10,455.80, 15,683.70 and 3,530.20

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Solution

The fourth proportional to 10,455.80, 15,683.70 and 3,530.20 is: 5,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.80 : 15,683.70 = 3,530.20 : x
  2. Step 2: Convert to fraction form
    10,455.80/15,683.70 = 3,530.20/x
  3. Step 3: Cross multiply
    10,455.80x = 15,683.70 × 3,530.20
  4. Step 4: Simplify right side
    10,455.80x = 55,366,597.74
  5. Step 5: Solve for x
    x = 55,366,597.74/10,455.80
  6. Step 6: Final answer
    x = 5,295.30

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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.