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Finding the Fourth Proportional to 8,302.57, 12,460.93 and 4,141.35

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Solution

The fourth proportional to 8,302.57, 12,460.93 and 4,141.35 is: 6,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.57 : 12,460.93 = 4,141.35 : x
  2. Step 2: Convert to fraction form
    8,302.57/12,460.93 = 4,141.35/x
  3. Step 3: Cross multiply
    8,302.57x = 12,460.93 × 4,141.35
  4. Step 4: Simplify right side
    8,302.57x = 51,605,062.10
  5. Step 5: Solve for x
    x = 51,605,062.10/8,302.57
  6. Step 6: Final answer
    x = 6,215.55

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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.