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Finding the Fourth Proportional to 10,254.25, 15,365.17 and 7,743.54

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Solution

The fourth proportional to 10,254.25, 15,365.17 and 7,743.54 is: 11,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.25 : 15,365.17 = 7,743.54 : x
  2. Step 2: Convert to fraction form
    10,254.25/15,365.17 = 7,743.54/x
  3. Step 3: Cross multiply
    10,254.25x = 15,365.17 × 7,743.54
  4. Step 4: Simplify right side
    10,254.25x = 118,980,808.50
  5. Step 5: Solve for x
    x = 118,980,808.50/10,254.25
  6. Step 6: Final answer
    x = 11,603.07

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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.