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Finding the Fourth Proportional to 8,301.40, 12,460.20 and 4,146.10

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Solution

The fourth proportional to 8,301.40, 12,460.20 and 4,146.10 is: 6,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.40 : 12,460.20 = 4,146.10 : x
  2. Step 2: Convert to fraction form
    8,301.40/12,460.20 = 4,146.10/x
  3. Step 3: Cross multiply
    8,301.40x = 12,460.20 × 4,146.10
  4. Step 4: Simplify right side
    8,301.40x = 51,661,235.22
  5. Step 5: Solve for x
    x = 51,661,235.22/8,301.40
  6. Step 6: Final answer
    x = 6,223.20

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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.