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Finding the Fourth Proportional to 7,616.36, 10,509.72 and 4,258.36

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Solution

The fourth proportional to 7,616.36, 10,509.72 and 4,258.36 is: 5,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.36 : 10,509.72 = 4,258.36 : x
  2. Step 2: Convert to fraction form
    7,616.36/10,509.72 = 4,258.36/x
  3. Step 3: Cross multiply
    7,616.36x = 10,509.72 × 4,258.36
  4. Step 4: Simplify right side
    7,616.36x = 44,754,171.26
  5. Step 5: Solve for x
    x = 44,754,171.26/7,616.36
  6. Step 6: Final answer
    x = 5,876.06

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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.