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Finding the Fourth Proportional to 8,583.84, 12,875.76 and 5,943.11

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Solution

The fourth proportional to 8,583.84, 12,875.76 and 5,943.11 is: 8,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.84 : 12,875.76 = 5,943.11 : x
  2. Step 2: Convert to fraction form
    8,583.84/12,875.76 = 5,943.11/x
  3. Step 3: Cross multiply
    8,583.84x = 12,875.76 × 5,943.11
  4. Step 4: Simplify right side
    8,583.84x = 76,521,993.63
  5. Step 5: Solve for x
    x = 76,521,993.63/8,583.84
  6. Step 6: Final answer
    x = 8,914.66

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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.