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Finding the Fourth Proportional to 7,677.84, 11,510.04 and 6,372.45

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Solution

The fourth proportional to 7,677.84, 11,510.04 and 6,372.45 is: 9,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.84 : 11,510.04 = 6,372.45 : x
  2. Step 2: Convert to fraction form
    7,677.84/11,510.04 = 6,372.45/x
  3. Step 3: Cross multiply
    7,677.84x = 11,510.04 × 6,372.45
  4. Step 4: Simplify right side
    7,677.84x = 73,347,154.40
  5. Step 5: Solve for x
    x = 73,347,154.40/7,677.84
  6. Step 6: Final answer
    x = 9,553.10

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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.