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Finding the Fourth Proportional to 7,688.84, 10,603.50 and 5,704.34

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Solution

The fourth proportional to 7,688.84, 10,603.50 and 5,704.34 is: 7,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.84 : 10,603.50 = 5,704.34 : x
  2. Step 2: Convert to fraction form
    7,688.84/10,603.50 = 5,704.34/x
  3. Step 3: Cross multiply
    7,688.84x = 10,603.50 × 5,704.34
  4. Step 4: Simplify right side
    7,688.84x = 60,485,969.19
  5. Step 5: Solve for x
    x = 60,485,969.19/7,688.84
  6. Step 6: Final answer
    x = 7,866.72

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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.