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Finding the Fourth Proportional to 10,352.53, 15,533.36 and 8,032.69

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Solution

The fourth proportional to 10,352.53, 15,533.36 and 8,032.69 is: 12,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.53 : 15,533.36 = 8,032.69 : x
  2. Step 2: Convert to fraction form
    10,352.53/15,533.36 = 8,032.69/x
  3. Step 3: Cross multiply
    10,352.53x = 15,533.36 × 8,032.69
  4. Step 4: Simplify right side
    10,352.53x = 124,774,665.54
  5. Step 5: Solve for x
    x = 124,774,665.54/10,352.53
  6. Step 6: Final answer
    x = 12,052.58

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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.