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Finding the Fourth Proportional to 8,424.66, 12,637.02 and 2,184.23

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Solution

The fourth proportional to 8,424.66, 12,637.02 and 2,184.23 is: 3,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.66 : 12,637.02 = 2,184.23 : x
  2. Step 2: Convert to fraction form
    8,424.66/12,637.02 = 2,184.23/x
  3. Step 3: Cross multiply
    8,424.66x = 12,637.02 × 2,184.23
  4. Step 4: Simplify right side
    8,424.66x = 27,602,095.01
  5. Step 5: Solve for x
    x = 27,602,095.01/8,424.66
  6. Step 6: Final answer
    x = 3,276.35

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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.