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Finding the Fourth Proportional to 6,782.48, 10,107.15 and 6,559.53

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Solution

The fourth proportional to 6,782.48, 10,107.15 and 6,559.53 is: 9,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.48 : 10,107.15 = 6,559.53 : x
  2. Step 2: Convert to fraction form
    6,782.48/10,107.15 = 6,559.53/x
  3. Step 3: Cross multiply
    6,782.48x = 10,107.15 × 6,559.53
  4. Step 4: Simplify right side
    6,782.48x = 66,298,144.77
  5. Step 5: Solve for x
    x = 66,298,144.77/6,782.48
  6. Step 6: Final answer
    x = 9,774.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.