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Finding the Fourth Proportional to 7,006.48, 9,665.78 and 4,021.72

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Solution

The fourth proportional to 7,006.48, 9,665.78 and 4,021.72 is: 5,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.48 : 9,665.78 = 4,021.72 : x
  2. Step 2: Convert to fraction form
    7,006.48/9,665.78 = 4,021.72/x
  3. Step 3: Cross multiply
    7,006.48x = 9,665.78 × 4,021.72
  4. Step 4: Simplify right side
    7,006.48x = 38,873,060.74
  5. Step 5: Solve for x
    x = 38,873,060.74/7,006.48
  6. Step 6: Final answer
    x = 5,548.16

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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.