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Finding the Fourth Proportional to 10,357.04, 15,537.72 and 3,431.60

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Solution

The fourth proportional to 10,357.04, 15,537.72 and 3,431.60 is: 5,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.04 : 15,537.72 = 3,431.60 : x
  2. Step 2: Convert to fraction form
    10,357.04/15,537.72 = 3,431.60/x
  3. Step 3: Cross multiply
    10,357.04x = 15,537.72 × 3,431.60
  4. Step 4: Simplify right side
    10,357.04x = 53,319,239.95
  5. Step 5: Solve for x
    x = 53,319,239.95/10,357.04
  6. Step 6: Final answer
    x = 5,148.12

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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.