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Finding the Fourth Proportional to 6,977.49, 10,475.12 and 4,522.58

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Solution

The fourth proportional to 6,977.49, 10,475.12 and 4,522.58 is: 6,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.49 : 10,475.12 = 4,522.58 : x
  2. Step 2: Convert to fraction form
    6,977.49/10,475.12 = 4,522.58/x
  3. Step 3: Cross multiply
    6,977.49x = 10,475.12 × 4,522.58
  4. Step 4: Simplify right side
    6,977.49x = 47,374,625.34
  5. Step 5: Solve for x
    x = 47,374,625.34/6,977.49
  6. Step 6: Final answer
    x = 6,789.64

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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.