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Finding the Fourth Proportional to 4,783.47, 7,127.13 and 4,514.90

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Solution

The fourth proportional to 4,783.47, 7,127.13 and 4,514.90 is: 6,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.47 : 7,127.13 = 4,514.90 : x
  2. Step 2: Convert to fraction form
    4,783.47/7,127.13 = 4,514.90/x
  3. Step 3: Cross multiply
    4,783.47x = 7,127.13 × 4,514.90
  4. Step 4: Simplify right side
    4,783.47x = 32,178,279.24
  5. Step 5: Solve for x
    x = 32,178,279.24/4,783.47
  6. Step 6: Final answer
    x = 6,726.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.