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Finding the Fourth Proportional to 10,514.64, 14,509.68 and 5,798.80

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Solution

The fourth proportional to 10,514.64, 14,509.68 and 5,798.80 is: 8,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.64 : 14,509.68 = 5,798.80 : x
  2. Step 2: Convert to fraction form
    10,514.64/14,509.68 = 5,798.80/x
  3. Step 3: Cross multiply
    10,514.64x = 14,509.68 × 5,798.80
  4. Step 4: Simplify right side
    10,514.64x = 84,138,732.38
  5. Step 5: Solve for x
    x = 84,138,732.38/10,514.64
  6. Step 6: Final answer
    x = 8,002.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.