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Finding the Fourth Proportional to 7,803.18, 11,710.92 and 4,107.60

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Solution

The fourth proportional to 7,803.18, 11,710.92 and 4,107.60 is: 6,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.18 : 11,710.92 = 4,107.60 : x
  2. Step 2: Convert to fraction form
    7,803.18/11,710.92 = 4,107.60/x
  3. Step 3: Cross multiply
    7,803.18x = 11,710.92 × 4,107.60
  4. Step 4: Simplify right side
    7,803.18x = 48,103,774.99
  5. Step 5: Solve for x
    x = 48,103,774.99/7,803.18
  6. Step 6: Final answer
    x = 6,164.64

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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.