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Finding the Fourth Proportional to 10,970.67, 16,454.55 and 4,396.95

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Solution

The fourth proportional to 10,970.67, 16,454.55 and 4,396.95 is: 6,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.67 : 16,454.55 = 4,396.95 : x
  2. Step 2: Convert to fraction form
    10,970.67/16,454.55 = 4,396.95/x
  3. Step 3: Cross multiply
    10,970.67x = 16,454.55 × 4,396.95
  4. Step 4: Simplify right side
    10,970.67x = 72,349,833.62
  5. Step 5: Solve for x
    x = 72,349,833.62/10,970.67
  6. Step 6: Final answer
    x = 6,594.84

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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.