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Finding the Fourth Proportional to 10,436.16, 15,639.58 and 5,758.34

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Solution

The fourth proportional to 10,436.16, 15,639.58 and 5,758.34 is: 8,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.16 : 15,639.58 = 5,758.34 : x
  2. Step 2: Convert to fraction form
    10,436.16/15,639.58 = 5,758.34/x
  3. Step 3: Cross multiply
    10,436.16x = 15,639.58 × 5,758.34
  4. Step 4: Simplify right side
    10,436.16x = 90,058,019.10
  5. Step 5: Solve for x
    x = 90,058,019.10/10,436.16
  6. Step 6: Final answer
    x = 8,629.42

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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.