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Finding the Fourth Proportional to 7,111.02, 9,809.82 and 4,277.10

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Solution

The fourth proportional to 7,111.02, 9,809.82 and 4,277.10 is: 5,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.02 : 9,809.82 = 4,277.10 : x
  2. Step 2: Convert to fraction form
    7,111.02/9,809.82 = 4,277.10/x
  3. Step 3: Cross multiply
    7,111.02x = 9,809.82 × 4,277.10
  4. Step 4: Simplify right side
    7,111.02x = 41,957,581.12
  5. Step 5: Solve for x
    x = 41,957,581.12/7,111.02
  6. Step 6: Final answer
    x = 5,900.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.