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Finding the Fourth Proportional to 10,846.17, 14,967.58 and 5,878.17

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Solution

The fourth proportional to 10,846.17, 14,967.58 and 5,878.17 is: 8,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.17 : 14,967.58 = 5,878.17 : x
  2. Step 2: Convert to fraction form
    10,846.17/14,967.58 = 5,878.17/x
  3. Step 3: Cross multiply
    10,846.17x = 14,967.58 × 5,878.17
  4. Step 4: Simplify right side
    10,846.17x = 87,981,979.73
  5. Step 5: Solve for x
    x = 87,981,979.73/10,846.17
  6. Step 6: Final answer
    x = 8,111.80

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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.