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Finding the Fourth Proportional to 10,514.66, 14,511.24 and 7,857.45

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Solution

The fourth proportional to 10,514.66, 14,511.24 and 7,857.45 is: 10,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.66 : 14,511.24 = 7,857.45 : x
  2. Step 2: Convert to fraction form
    10,514.66/14,511.24 = 7,857.45/x
  3. Step 3: Cross multiply
    10,514.66x = 14,511.24 × 7,857.45
  4. Step 4: Simplify right side
    10,514.66x = 114,021,342.74
  5. Step 5: Solve for x
    x = 114,021,342.74/10,514.66
  6. Step 6: Final answer
    x = 10,844.04

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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.