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Finding the Fourth Proportional to 10,834.53, 14,941.65 and 8,316.75

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Solution

The fourth proportional to 10,834.53, 14,941.65 and 8,316.75 is: 11,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.53 : 14,941.65 = 8,316.75 : x
  2. Step 2: Convert to fraction form
    10,834.53/14,941.65 = 8,316.75/x
  3. Step 3: Cross multiply
    10,834.53x = 14,941.65 × 8,316.75
  4. Step 4: Simplify right side
    10,834.53x = 124,266,001.14
  5. Step 5: Solve for x
    x = 124,266,001.14/10,834.53
  6. Step 6: Final answer
    x = 11,469.44

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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.