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Finding the Fourth Proportional to 7,678.16, 10,593.14 and 5,027.04

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Solution

The fourth proportional to 7,678.16, 10,593.14 and 5,027.04 is: 6,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.16 : 10,593.14 = 5,027.04 : x
  2. Step 2: Convert to fraction form
    7,678.16/10,593.14 = 5,027.04/x
  3. Step 3: Cross multiply
    7,678.16x = 10,593.14 × 5,027.04
  4. Step 4: Simplify right side
    7,678.16x = 53,252,138.51
  5. Step 5: Solve for x
    x = 53,252,138.51/7,678.16
  6. Step 6: Final answer
    x = 6,935.53

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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.