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Finding the Fourth Proportional to 10,426.74, 15,642.53 and 3,407.07

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Solution

The fourth proportional to 10,426.74, 15,642.53 and 3,407.07 is: 5,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.74 : 15,642.53 = 3,407.07 : x
  2. Step 2: Convert to fraction form
    10,426.74/15,642.53 = 3,407.07/x
  3. Step 3: Cross multiply
    10,426.74x = 15,642.53 × 3,407.07
  4. Step 4: Simplify right side
    10,426.74x = 53,295,268.25
  5. Step 5: Solve for x
    x = 53,295,268.25/10,426.74
  6. Step 6: Final answer
    x = 5,111.40

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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.