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Finding the Fourth Proportional to 7,455.83, 10,278.16 and 5,210.71

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Solution

The fourth proportional to 7,455.83, 10,278.16 and 5,210.71 is: 7,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.83 : 10,278.16 = 5,210.71 : x
  2. Step 2: Convert to fraction form
    7,455.83/10,278.16 = 5,210.71/x
  3. Step 3: Cross multiply
    7,455.83x = 10,278.16 × 5,210.71
  4. Step 4: Simplify right side
    7,455.83x = 53,556,472.37
  5. Step 5: Solve for x
    x = 53,556,472.37/7,455.83
  6. Step 6: Final answer
    x = 7,183.17

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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.