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Finding the Fourth Proportional to 10,271.60, 15,407.36 and 2,480.40

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Solution

The fourth proportional to 10,271.60, 15,407.36 and 2,480.40 is: 3,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.60 : 15,407.36 = 2,480.40 : x
  2. Step 2: Convert to fraction form
    10,271.60/15,407.36 = 2,480.40/x
  3. Step 3: Cross multiply
    10,271.60x = 15,407.36 × 2,480.40
  4. Step 4: Simplify right side
    10,271.60x = 38,216,415.74
  5. Step 5: Solve for x
    x = 38,216,415.74/10,271.60
  6. Step 6: Final answer
    x = 3,720.59

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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.