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Finding the Fourth Proportional to 7,070.94, 10,596.38 and 5,207.44

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Solution

The fourth proportional to 7,070.94, 10,596.38 and 5,207.44 is: 7,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.94 : 10,596.38 = 5,207.44 : x
  2. Step 2: Convert to fraction form
    7,070.94/10,596.38 = 5,207.44/x
  3. Step 3: Cross multiply
    7,070.94x = 10,596.38 × 5,207.44
  4. Step 4: Simplify right side
    7,070.94x = 55,180,013.07
  5. Step 5: Solve for x
    x = 55,180,013.07/7,070.94
  6. Step 6: Final answer
    x = 7,803.77

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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.