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Finding the Fourth Proportional to 7,616.90, 10,511.25 and 4,259.68

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Solution

The fourth proportional to 7,616.90, 10,511.25 and 4,259.68 is: 5,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.90 : 10,511.25 = 4,259.68 : x
  2. Step 2: Convert to fraction form
    7,616.90/10,511.25 = 4,259.68/x
  3. Step 3: Cross multiply
    7,616.90x = 10,511.25 × 4,259.68
  4. Step 4: Simplify right side
    7,616.90x = 44,774,561.40
  5. Step 5: Solve for x
    x = 44,774,561.40/7,616.90
  6. Step 6: Final answer
    x = 5,878.32

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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.