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Finding the Fourth Proportional to 10,407.52, 15,606.78 and 3,010.24

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Solution

The fourth proportional to 10,407.52, 15,606.78 and 3,010.24 is: 4,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.52 : 15,606.78 = 3,010.24 : x
  2. Step 2: Convert to fraction form
    10,407.52/15,606.78 = 3,010.24/x
  3. Step 3: Cross multiply
    10,407.52x = 15,606.78 × 3,010.24
  4. Step 4: Simplify right side
    10,407.52x = 46,980,153.43
  5. Step 5: Solve for x
    x = 46,980,153.43/10,407.52
  6. Step 6: Final answer
    x = 4,514.06

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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.