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Finding the Fourth Proportional to 10,077.75, 15,117.03 and 3,152.25

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Solution

The fourth proportional to 10,077.75, 15,117.03 and 3,152.25 is: 4,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.75 : 15,117.03 = 3,152.25 : x
  2. Step 2: Convert to fraction form
    10,077.75/15,117.03 = 3,152.25/x
  3. Step 3: Cross multiply
    10,077.75x = 15,117.03 × 3,152.25
  4. Step 4: Simplify right side
    10,077.75x = 47,652,657.82
  5. Step 5: Solve for x
    x = 47,652,657.82/10,077.75
  6. Step 6: Final answer
    x = 4,728.50

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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.