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Finding the Fourth Proportional to 6,788.42, 10,228.88 and 5,582.83

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Solution

The fourth proportional to 6,788.42, 10,228.88 and 5,582.83 is: 8,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.42 : 10,228.88 = 5,582.83 : x
  2. Step 2: Convert to fraction form
    6,788.42/10,228.88 = 5,582.83/x
  3. Step 3: Cross multiply
    6,788.42x = 10,228.88 × 5,582.83
  4. Step 4: Simplify right side
    6,788.42x = 57,106,070.22
  5. Step 5: Solve for x
    x = 57,106,070.22/6,788.42
  6. Step 6: Final answer
    x = 8,412.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.