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Finding the Fourth Proportional to 7,114.13, 10,694.64 and 5,048.93

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Solution

The fourth proportional to 7,114.13, 10,694.64 and 5,048.93 is: 7,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.13 : 10,694.64 = 5,048.93 : x
  2. Step 2: Convert to fraction form
    7,114.13/10,694.64 = 5,048.93/x
  3. Step 3: Cross multiply
    7,114.13x = 10,694.64 × 5,048.93
  4. Step 4: Simplify right side
    7,114.13x = 53,996,488.74
  5. Step 5: Solve for x
    x = 53,996,488.74/7,114.13
  6. Step 6: Final answer
    x = 7,590.03

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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.