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Finding the Fourth Proportional to 10,532, 15,795.87 and 3,866.23

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Solution

The fourth proportional to 10,532, 15,795.87 and 3,866.23 is: 5,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 15,795.87 = 3,866.23 : x
  2. Step 2: Convert to fraction form
    10,532/15,795.87 = 3,866.23/x
  3. Step 3: Cross multiply
    10,532x = 15,795.87 × 3,866.23
  4. Step 4: Simplify right side
    10,532x = 61,070,466.47
  5. Step 5: Solve for x
    x = 61,070,466.47/10,532
  6. Step 6: Final answer
    x = 5,798.56

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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.