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Finding the Fourth Proportional to 10,514.54, 14,510.06 and 5,798.82

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Solution

The fourth proportional to 10,514.54, 14,510.06 and 5,798.82 is: 8,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.54 : 14,510.06 = 5,798.82 : x
  2. Step 2: Convert to fraction form
    10,514.54/14,510.06 = 5,798.82/x
  3. Step 3: Cross multiply
    10,514.54x = 14,510.06 × 5,798.82
  4. Step 4: Simplify right side
    10,514.54x = 84,141,197.14
  5. Step 5: Solve for x
    x = 84,141,197.14/10,514.54
  6. Step 6: Final answer
    x = 8,002.36

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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.