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Finding the Fourth Proportional to 11,312.62, 16,939.68 and 7,813.42

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Solution

The fourth proportional to 11,312.62, 16,939.68 and 7,813.42 is: 11,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.62 : 16,939.68 = 7,813.42 : x
  2. Step 2: Convert to fraction form
    11,312.62/16,939.68 = 7,813.42/x
  3. Step 3: Cross multiply
    11,312.62x = 16,939.68 × 7,813.42
  4. Step 4: Simplify right side
    11,312.62x = 132,356,834.51
  5. Step 5: Solve for x
    x = 132,356,834.51/11,312.62
  6. Step 6: Final answer
    x = 11,699.93

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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.