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Finding the Fourth Proportional to 7,496.00, 10,347.51 and 4,514.39

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Solution

The fourth proportional to 7,496.00, 10,347.51 and 4,514.39 is: 6,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.00 : 10,347.51 = 4,514.39 : x
  2. Step 2: Convert to fraction form
    7,496.00/10,347.51 = 4,514.39/x
  3. Step 3: Cross multiply
    7,496.00x = 10,347.51 × 4,514.39
  4. Step 4: Simplify right side
    7,496.00x = 46,712,643.93
  5. Step 5: Solve for x
    x = 46,712,643.93/7,496.00
  6. Step 6: Final answer
    x = 6,231.68

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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.