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Finding the Fourth Proportional to 10,226, 15,342.60 and 5,035.52

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Solution

The fourth proportional to 10,226, 15,342.60 and 5,035.52 is: 7,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226 : 15,342.60 = 5,035.52 : x
  2. Step 2: Convert to fraction form
    10,226/15,342.60 = 5,035.52/x
  3. Step 3: Cross multiply
    10,226x = 15,342.60 × 5,035.52
  4. Step 4: Simplify right side
    10,226x = 77,257,969.15
  5. Step 5: Solve for x
    x = 77,257,969.15/10,226
  6. Step 6: Final answer
    x = 7,555.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.