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Finding the Fourth Proportional to 10,813.99, 14,920.75 and 6,097.36

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Solution

The fourth proportional to 10,813.99, 14,920.75 and 6,097.36 is: 8,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.99 : 14,920.75 = 6,097.36 : x
  2. Step 2: Convert to fraction form
    10,813.99/14,920.75 = 6,097.36/x
  3. Step 3: Cross multiply
    10,813.99x = 14,920.75 × 6,097.36
  4. Step 4: Simplify right side
    10,813.99x = 90,977,131.67
  5. Step 5: Solve for x
    x = 90,977,131.67/10,813.99
  6. Step 6: Final answer
    x = 8,412.91

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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.