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Finding the Fourth Proportional to 8,275.37, 12,410.31 and 4,764.62

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Solution

The fourth proportional to 8,275.37, 12,410.31 and 4,764.62 is: 7,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.37 : 12,410.31 = 4,764.62 : x
  2. Step 2: Convert to fraction form
    8,275.37/12,410.31 = 4,764.62/x
  3. Step 3: Cross multiply
    8,275.37x = 12,410.31 × 4,764.62
  4. Step 4: Simplify right side
    8,275.37x = 59,130,460.13
  5. Step 5: Solve for x
    x = 59,130,460.13/8,275.37
  6. Step 6: Final answer
    x = 7,145.36

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