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Finding the Fourth Proportional to 10,058.26, 13,839.60 and 8,259.16

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Solution

The fourth proportional to 10,058.26, 13,839.60 and 8,259.16 is: 11,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.26 : 13,839.60 = 8,259.16 : x
  2. Step 2: Convert to fraction form
    10,058.26/13,839.60 = 8,259.16/x
  3. Step 3: Cross multiply
    10,058.26x = 13,839.60 × 8,259.16
  4. Step 4: Simplify right side
    10,058.26x = 114,303,470.74
  5. Step 5: Solve for x
    x = 114,303,470.74/10,058.26
  6. Step 6: Final answer
    x = 11,364.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.