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Finding the Fourth Proportional to 10,058.28, 13,882.08 and 5,583.48

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Solution

The fourth proportional to 10,058.28, 13,882.08 and 5,583.48 is: 7,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.28 : 13,882.08 = 5,583.48 : x
  2. Step 2: Convert to fraction form
    10,058.28/13,882.08 = 5,583.48/x
  3. Step 3: Cross multiply
    10,058.28x = 13,882.08 × 5,583.48
  4. Step 4: Simplify right side
    10,058.28x = 77,510,316.04
  5. Step 5: Solve for x
    x = 77,510,316.04/10,058.28
  6. Step 6: Final answer
    x = 7,706.12

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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.