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Finding the Fourth Proportional to 7,116.95, 10,682.75 and 5,039.30

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Solution

The fourth proportional to 7,116.95, 10,682.75 and 5,039.30 is: 7,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.95 : 10,682.75 = 5,039.30 : x
  2. Step 2: Convert to fraction form
    7,116.95/10,682.75 = 5,039.30/x
  3. Step 3: Cross multiply
    7,116.95x = 10,682.75 × 5,039.30
  4. Step 4: Simplify right side
    7,116.95x = 53,833,621.38
  5. Step 5: Solve for x
    x = 53,833,621.38/7,116.95
  6. Step 6: Final answer
    x = 7,564.14

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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.