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Finding the Fourth Proportional to 7,638.95, 10,533.75 and 5,653.67

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Solution

The fourth proportional to 7,638.95, 10,533.75 and 5,653.67 is: 7,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.95 : 10,533.75 = 5,653.67 : x
  2. Step 2: Convert to fraction form
    7,638.95/10,533.75 = 5,653.67/x
  3. Step 3: Cross multiply
    7,638.95x = 10,533.75 × 5,653.67
  4. Step 4: Simplify right side
    7,638.95x = 59,554,265.43
  5. Step 5: Solve for x
    x = 59,554,265.43/7,638.95
  6. Step 6: Final answer
    x = 7,796.14

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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.