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Finding the Fourth Proportional to 7,072.55, 10,598.77 and 5,209.01

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Solution

The fourth proportional to 7,072.55, 10,598.77 and 5,209.01 is: 7,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.55 : 10,598.77 = 5,209.01 : x
  2. Step 2: Convert to fraction form
    7,072.55/10,598.77 = 5,209.01/x
  3. Step 3: Cross multiply
    7,072.55x = 10,598.77 × 5,209.01
  4. Step 4: Simplify right side
    7,072.55x = 55,209,062.88
  5. Step 5: Solve for x
    x = 55,209,062.88/7,072.55
  6. Step 6: Final answer
    x = 7,806.11

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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.