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Finding the Fourth Proportional to 10,514, 14,509.42 and 5,798.46

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Solution

The fourth proportional to 10,514, 14,509.42 and 5,798.46 is: 8,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514 : 14,509.42 = 5,798.46 : x
  2. Step 2: Convert to fraction form
    10,514/14,509.42 = 5,798.46/x
  3. Step 3: Cross multiply
    10,514x = 14,509.42 × 5,798.46
  4. Step 4: Simplify right side
    10,514x = 84,132,291.49
  5. Step 5: Solve for x
    x = 84,132,291.49/10,514
  6. Step 6: Final answer
    x = 8,001.93

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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.