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Finding the Fourth Proportional to 10,407.51, 15,613.54 and 3,012.26

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Solution

The fourth proportional to 10,407.51, 15,613.54 and 3,012.26 is: 4,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.51 : 15,613.54 = 3,012.26 : x
  2. Step 2: Convert to fraction form
    10,407.51/15,613.54 = 3,012.26/x
  3. Step 3: Cross multiply
    10,407.51x = 15,613.54 × 3,012.26
  4. Step 4: Simplify right side
    10,407.51x = 47,031,956.40
  5. Step 5: Solve for x
    x = 47,031,956.40/10,407.51
  6. Step 6: Final answer
    x = 4,519.04

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