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Finding the Fourth Proportional to 8,260.58, 11,398.19 and 4,724.06

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Solution

The fourth proportional to 8,260.58, 11,398.19 and 4,724.06 is: 6,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.58 : 11,398.19 = 4,724.06 : x
  2. Step 2: Convert to fraction form
    8,260.58/11,398.19 = 4,724.06/x
  3. Step 3: Cross multiply
    8,260.58x = 11,398.19 × 4,724.06
  4. Step 4: Simplify right side
    8,260.58x = 53,845,652.84
  5. Step 5: Solve for x
    x = 53,845,652.84/8,260.58
  6. Step 6: Final answer
    x = 6,518.38

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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.