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Finding the Fourth Proportional to 7,803.34, 11,715.91 and 4,006.64

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Solution

The fourth proportional to 7,803.34, 11,715.91 and 4,006.64 is: 6,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.34 : 11,715.91 = 4,006.64 : x
  2. Step 2: Convert to fraction form
    7,803.34/11,715.91 = 4,006.64/x
  3. Step 3: Cross multiply
    7,803.34x = 11,715.91 × 4,006.64
  4. Step 4: Simplify right side
    7,803.34x = 46,941,452.92
  5. Step 5: Solve for x
    x = 46,941,452.92/7,803.34
  6. Step 6: Final answer
    x = 6,015.56

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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.