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Finding the Fourth Proportional to 7,282.80, 10,904.76 and 6,408

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Solution

The fourth proportional to 7,282.80, 10,904.76 and 6,408 is: 9,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.80 : 10,904.76 = 6,408 : x
  2. Step 2: Convert to fraction form
    7,282.80/10,904.76 = 6,408/x
  3. Step 3: Cross multiply
    7,282.80x = 10,904.76 × 6,408
  4. Step 4: Simplify right side
    7,282.80x = 69,877,702.08
  5. Step 5: Solve for x
    x = 69,877,702.08/7,282.80
  6. Step 6: Final answer
    x = 9,594.90

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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.