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Finding the Fourth Proportional to 10,316.16, 15,474.20 and 3,742.34

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Solution

The fourth proportional to 10,316.16, 15,474.20 and 3,742.34 is: 5,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.16 : 15,474.20 = 3,742.34 : x
  2. Step 2: Convert to fraction form
    10,316.16/15,474.20 = 3,742.34/x
  3. Step 3: Cross multiply
    10,316.16x = 15,474.20 × 3,742.34
  4. Step 4: Simplify right side
    10,316.16x = 57,909,717.63
  5. Step 5: Solve for x
    x = 57,909,717.63/10,316.16
  6. Step 6: Final answer
    x = 5,613.50

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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.