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Finding the Fourth Proportional to 10,199.52, 15,296.32 and 2,804.22

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Solution

The fourth proportional to 10,199.52, 15,296.32 and 2,804.22 is: 4,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.52 : 15,296.32 = 2,804.22 : x
  2. Step 2: Convert to fraction form
    10,199.52/15,296.32 = 2,804.22/x
  3. Step 3: Cross multiply
    10,199.52x = 15,296.32 × 2,804.22
  4. Step 4: Simplify right side
    10,199.52x = 42,894,246.47
  5. Step 5: Solve for x
    x = 42,894,246.47/10,199.52
  6. Step 6: Final answer
    x = 4,205.52

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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.