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Finding the Fourth Proportional to 10,595.42, 15,895.75 and 7,481.53

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Solution

The fourth proportional to 10,595.42, 15,895.75 and 7,481.53 is: 11,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.42 : 15,895.75 = 7,481.53 : x
  2. Step 2: Convert to fraction form
    10,595.42/15,895.75 = 7,481.53/x
  3. Step 3: Cross multiply
    10,595.42x = 15,895.75 × 7,481.53
  4. Step 4: Simplify right side
    10,595.42x = 118,924,530.50
  5. Step 5: Solve for x
    x = 118,924,530.50/10,595.42
  6. Step 6: Final answer
    x = 11,224.15

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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.