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Finding the Fourth Proportional to 7,721.63, 10,663.41 and 6,596

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Solution

The fourth proportional to 7,721.63, 10,663.41 and 6,596 is: 9,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721.63 : 10,663.41 = 6,596 : x
  2. Step 2: Convert to fraction form
    7,721.63/10,663.41 = 6,596/x
  3. Step 3: Cross multiply
    7,721.63x = 10,663.41 × 6,596
  4. Step 4: Simplify right side
    7,721.63x = 70,335,852.36
  5. Step 5: Solve for x
    x = 70,335,852.36/7,721.63
  6. Step 6: Final answer
    x = 9,108.94

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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.