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Finding the Fourth Proportional to 7,616.88, 10,511.22 and 4,259.70

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Solution

The fourth proportional to 7,616.88, 10,511.22 and 4,259.70 is: 5,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.88 : 10,511.22 = 4,259.70 : x
  2. Step 2: Convert to fraction form
    7,616.88/10,511.22 = 4,259.70/x
  3. Step 3: Cross multiply
    7,616.88x = 10,511.22 × 4,259.70
  4. Step 4: Simplify right side
    7,616.88x = 44,774,643.83
  5. Step 5: Solve for x
    x = 44,774,643.83/7,616.88
  6. Step 6: Final answer
    x = 5,878.34

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Why These Related Problems?

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