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Finding the Fourth Proportional to 10,452.80, 15,686.40 and 7,533.60

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Solution

The fourth proportional to 10,452.80, 15,686.40 and 7,533.60 is: 11,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.80 : 15,686.40 = 7,533.60 : x
  2. Step 2: Convert to fraction form
    10,452.80/15,686.40 = 7,533.60/x
  3. Step 3: Cross multiply
    10,452.80x = 15,686.40 × 7,533.60
  4. Step 4: Simplify right side
    10,452.80x = 118,175,063.04
  5. Step 5: Solve for x
    x = 118,175,063.04/10,452.80
  6. Step 6: Final answer
    x = 11,305.59

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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.