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Finding the Fourth Proportional to 10,352.52, 15,530.36 and 3,428.64

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Solution

The fourth proportional to 10,352.52, 15,530.36 and 3,428.64 is: 5,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.52 : 15,530.36 = 3,428.64 : x
  2. Step 2: Convert to fraction form
    10,352.52/15,530.36 = 3,428.64/x
  3. Step 3: Cross multiply
    10,352.52x = 15,530.36 × 3,428.64
  4. Step 4: Simplify right side
    10,352.52x = 53,248,013.51
  5. Step 5: Solve for x
    x = 53,248,013.51/10,352.52
  6. Step 6: Final answer
    x = 5,143.48

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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.