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Finding the Fourth Proportional to 7,076.52, 10,598.38 and 6,830.48

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Solution

The fourth proportional to 7,076.52, 10,598.38 and 6,830.48 is: 10,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.52 : 10,598.38 = 6,830.48 : x
  2. Step 2: Convert to fraction form
    7,076.52/10,598.38 = 6,830.48/x
  3. Step 3: Cross multiply
    7,076.52x = 10,598.38 × 6,830.48
  4. Step 4: Simplify right side
    7,076.52x = 72,392,032.04
  5. Step 5: Solve for x
    x = 72,392,032.04/7,076.52
  6. Step 6: Final answer
    x = 10,229.89

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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.