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Finding the Fourth Proportional to 7,765.52, 11,633.02 and 5,124.97

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Solution

The fourth proportional to 7,765.52, 11,633.02 and 5,124.97 is: 7,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.52 : 11,633.02 = 5,124.97 : x
  2. Step 2: Convert to fraction form
    7,765.52/11,633.02 = 5,124.97/x
  3. Step 3: Cross multiply
    7,765.52x = 11,633.02 × 5,124.97
  4. Step 4: Simplify right side
    7,765.52x = 59,618,878.51
  5. Step 5: Solve for x
    x = 59,618,878.51/7,765.52
  6. Step 6: Final answer
    x = 7,677.38

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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.