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Finding the Fourth Proportional to 10,515.11, 14,511.87 and 7,857.90

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Solution

The fourth proportional to 10,515.11, 14,511.87 and 7,857.90 is: 10,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.11 : 14,511.87 = 7,857.90 : x
  2. Step 2: Convert to fraction form
    10,515.11/14,511.87 = 7,857.90/x
  3. Step 3: Cross multiply
    10,515.11x = 14,511.87 × 7,857.90
  4. Step 4: Simplify right side
    10,515.11x = 114,032,823.27
  5. Step 5: Solve for x
    x = 114,032,823.27/10,515.11
  6. Step 6: Final answer
    x = 10,844.66

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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.