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Finding the Fourth Proportional to 7,617.44, 10,511.06 and 4,260.12

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Solution

The fourth proportional to 7,617.44, 10,511.06 and 4,260.12 is: 5,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.44 : 10,511.06 = 4,260.12 : x
  2. Step 2: Convert to fraction form
    7,617.44/10,511.06 = 4,260.12/x
  3. Step 3: Cross multiply
    7,617.44x = 10,511.06 × 4,260.12
  4. Step 4: Simplify right side
    7,617.44x = 44,778,355.63
  5. Step 5: Solve for x
    x = 44,778,355.63/7,617.44
  6. Step 6: Final answer
    x = 5,878.40

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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.