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Finding the Fourth Proportional to 7,826.40, 10,800 and 4,288.91

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Solution

The fourth proportional to 7,826.40, 10,800 and 4,288.91 is: 5,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.40 : 10,800 = 4,288.91 : x
  2. Step 2: Convert to fraction form
    7,826.40/10,800 = 4,288.91/x
  3. Step 3: Cross multiply
    7,826.40x = 10,800 × 4,288.91
  4. Step 4: Simplify right side
    7,826.40x = 46,320,174
  5. Step 5: Solve for x
    x = 46,320,174/7,826.40
  6. Step 6: Final answer
    x = 5,918.45

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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.