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Finding the Fourth Proportional to 10,497.72, 14,486.94 and 5,782.20

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Solution

The fourth proportional to 10,497.72, 14,486.94 and 5,782.20 is: 7,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.72 : 14,486.94 = 5,782.20 : x
  2. Step 2: Convert to fraction form
    10,497.72/14,486.94 = 5,782.20/x
  3. Step 3: Cross multiply
    10,497.72x = 14,486.94 × 5,782.20
  4. Step 4: Simplify right side
    10,497.72x = 83,766,384.47
  5. Step 5: Solve for x
    x = 83,766,384.47/10,497.72
  6. Step 6: Final answer
    x = 7,979.48

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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.