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Finding the Fourth Proportional to 7,633.30, 10,534.93 and 4,489.78

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Solution

The fourth proportional to 7,633.30, 10,534.93 and 4,489.78 is: 6,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.30 : 10,534.93 = 4,489.78 : x
  2. Step 2: Convert to fraction form
    7,633.30/10,534.93 = 4,489.78/x
  3. Step 3: Cross multiply
    7,633.30x = 10,534.93 × 4,489.78
  4. Step 4: Simplify right side
    7,633.30x = 47,299,518.02
  5. Step 5: Solve for x
    x = 47,299,518.02/7,633.30
  6. Step 6: Final answer
    x = 6,196.47

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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.