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Finding the Fourth Proportional to 10,852.52, 16,266.83 and 7,099.79

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Solution

The fourth proportional to 10,852.52, 16,266.83 and 7,099.79 is: 10,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.52 : 16,266.83 = 7,099.79 : x
  2. Step 2: Convert to fraction form
    10,852.52/16,266.83 = 7,099.79/x
  3. Step 3: Cross multiply
    10,852.52x = 16,266.83 × 7,099.79
  4. Step 4: Simplify right side
    10,852.52x = 115,490,960.13
  5. Step 5: Solve for x
    x = 115,490,960.13/10,852.52
  6. Step 6: Final answer
    x = 10,641.86

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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.