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Finding the Fourth Proportional to 7,054.75, 10,582.13 and 2,437.75

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Solution

The fourth proportional to 7,054.75, 10,582.13 and 2,437.75 is: 3,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.75 : 10,582.13 = 2,437.75 : x
  2. Step 2: Convert to fraction form
    7,054.75/10,582.13 = 2,437.75/x
  3. Step 3: Cross multiply
    7,054.75x = 10,582.13 × 2,437.75
  4. Step 4: Simplify right side
    7,054.75x = 25,796,587.41
  5. Step 5: Solve for x
    x = 25,796,587.41/7,054.75
  6. Step 6: Final answer
    x = 3,656.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.