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Finding the Fourth Proportional to 10,084.26, 15,058.42 and 8,239.02

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Solution

The fourth proportional to 10,084.26, 15,058.42 and 8,239.02 is: 12,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.26 : 15,058.42 = 8,239.02 : x
  2. Step 2: Convert to fraction form
    10,084.26/15,058.42 = 8,239.02/x
  3. Step 3: Cross multiply
    10,084.26x = 15,058.42 × 8,239.02
  4. Step 4: Simplify right side
    10,084.26x = 124,066,623.55
  5. Step 5: Solve for x
    x = 124,066,623.55/10,084.26
  6. Step 6: Final answer
    x = 12,303.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.