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Finding the Fourth Proportional to 6,830.84, 10,230.02 and 4,357.92

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Solution

The fourth proportional to 6,830.84, 10,230.02 and 4,357.92 is: 6,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.84 : 10,230.02 = 4,357.92 : x
  2. Step 2: Convert to fraction form
    6,830.84/10,230.02 = 4,357.92/x
  3. Step 3: Cross multiply
    6,830.84x = 10,230.02 × 4,357.92
  4. Step 4: Simplify right side
    6,830.84x = 44,581,608.76
  5. Step 5: Solve for x
    x = 44,581,608.76/6,830.84
  6. Step 6: Final answer
    x = 6,526.52

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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.