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Finding the Fourth Proportional to 7,800.53, 11,696.91 and 4,468.25

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Solution

The fourth proportional to 7,800.53, 11,696.91 and 4,468.25 is: 6,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.53 : 11,696.91 = 4,468.25 : x
  2. Step 2: Convert to fraction form
    7,800.53/11,696.91 = 4,468.25/x
  3. Step 3: Cross multiply
    7,800.53x = 11,696.91 × 4,468.25
  4. Step 4: Simplify right side
    7,800.53x = 52,264,659.62
  5. Step 5: Solve for x
    x = 52,264,659.62/7,800.53
  6. Step 6: Final answer
    x = 6,700.15

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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.