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Finding the Fourth Proportional to 7,701.63, 11,553.18 and 2,154.98

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Solution

The fourth proportional to 7,701.63, 11,553.18 and 2,154.98 is: 3,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.63 : 11,553.18 = 2,154.98 : x
  2. Step 2: Convert to fraction form
    7,701.63/11,553.18 = 2,154.98/x
  3. Step 3: Cross multiply
    7,701.63x = 11,553.18 × 2,154.98
  4. Step 4: Simplify right side
    7,701.63x = 24,896,871.84
  5. Step 5: Solve for x
    x = 24,896,871.84/7,701.63
  6. Step 6: Final answer
    x = 3,232.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.