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Finding the Fourth Proportional to 7,300.70, 10,078.84 and 5,849.27

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Solution

The fourth proportional to 7,300.70, 10,078.84 and 5,849.27 is: 8,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.70 : 10,078.84 = 5,849.27 : x
  2. Step 2: Convert to fraction form
    7,300.70/10,078.84 = 5,849.27/x
  3. Step 3: Cross multiply
    7,300.70x = 10,078.84 × 5,849.27
  4. Step 4: Simplify right side
    7,300.70x = 58,953,854.66
  5. Step 5: Solve for x
    x = 58,953,854.66/7,300.70
  6. Step 6: Final answer
    x = 8,075.10

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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.