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Finding the Fourth Proportional to 7,187.58, 10,782.45 and 2,569.50

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Solution

The fourth proportional to 7,187.58, 10,782.45 and 2,569.50 is: 3,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.58 : 10,782.45 = 2,569.50 : x
  2. Step 2: Convert to fraction form
    7,187.58/10,782.45 = 2,569.50/x
  3. Step 3: Cross multiply
    7,187.58x = 10,782.45 × 2,569.50
  4. Step 4: Simplify right side
    7,187.58x = 27,705,505.28
  5. Step 5: Solve for x
    x = 27,705,505.28/7,187.58
  6. Step 6: Final answer
    x = 3,854.64

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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.