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Finding the Fourth Proportional to 8,511.84, 11,737.98 and 5,678.46

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Solution

The fourth proportional to 8,511.84, 11,737.98 and 5,678.46 is: 7,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.84 : 11,737.98 = 5,678.46 : x
  2. Step 2: Convert to fraction form
    8,511.84/11,737.98 = 5,678.46/x
  3. Step 3: Cross multiply
    8,511.84x = 11,737.98 × 5,678.46
  4. Step 4: Simplify right side
    8,511.84x = 66,653,649.91
  5. Step 5: Solve for x
    x = 66,653,649.91/8,511.84
  6. Step 6: Final answer
    x = 7,830.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.