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Finding the Fourth Proportional to 8,216.47, 12,328.74 and 5,095.68

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Solution

The fourth proportional to 8,216.47, 12,328.74 and 5,095.68 is: 7,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.47 : 12,328.74 = 5,095.68 : x
  2. Step 2: Convert to fraction form
    8,216.47/12,328.74 = 5,095.68/x
  3. Step 3: Cross multiply
    8,216.47x = 12,328.74 × 5,095.68
  4. Step 4: Simplify right side
    8,216.47x = 62,823,267.61
  5. Step 5: Solve for x
    x = 62,823,267.61/8,216.47
  6. Step 6: Final answer
    x = 7,646.02

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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.