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Finding the Fourth Proportional to 8,302.97, 12,437.75 and 4,130.33

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Solution

The fourth proportional to 8,302.97, 12,437.75 and 4,130.33 is: 6,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.97 : 12,437.75 = 4,130.33 : x
  2. Step 2: Convert to fraction form
    8,302.97/12,437.75 = 4,130.33/x
  3. Step 3: Cross multiply
    8,302.97x = 12,437.75 × 4,130.33
  4. Step 4: Simplify right side
    8,302.97x = 51,371,960.09
  5. Step 5: Solve for x
    x = 51,371,960.09/8,302.97
  6. Step 6: Final answer
    x = 6,187.18

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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.