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Finding the Fourth Proportional to 7,114.49, 10,663.08 and 5,035.10

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Solution

The fourth proportional to 7,114.49, 10,663.08 and 5,035.10 is: 7,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.49 : 10,663.08 = 5,035.10 : x
  2. Step 2: Convert to fraction form
    7,114.49/10,663.08 = 5,035.10/x
  3. Step 3: Cross multiply
    7,114.49x = 10,663.08 × 5,035.10
  4. Step 4: Simplify right side
    7,114.49x = 53,689,674.11
  5. Step 5: Solve for x
    x = 53,689,674.11/7,114.49
  6. Step 6: Final answer
    x = 7,546.52

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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.