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Finding the Fourth Proportional to 7,002.34, 10,551.53 and 5,796.80

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Solution

The fourth proportional to 7,002.34, 10,551.53 and 5,796.80 is: 8,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.34 : 10,551.53 = 5,796.80 : x
  2. Step 2: Convert to fraction form
    7,002.34/10,551.53 = 5,796.80/x
  3. Step 3: Cross multiply
    7,002.34x = 10,551.53 × 5,796.80
  4. Step 4: Simplify right side
    7,002.34x = 61,165,109.10
  5. Step 5: Solve for x
    x = 61,165,109.10/7,002.34
  6. Step 6: Final answer
    x = 8,734.95

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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.