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Finding the Fourth Proportional to 7,826.79, 10,801.01 and 4,290.02

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Solution

The fourth proportional to 7,826.79, 10,801.01 and 4,290.02 is: 5,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.79 : 10,801.01 = 4,290.02 : x
  2. Step 2: Convert to fraction form
    7,826.79/10,801.01 = 4,290.02/x
  3. Step 3: Cross multiply
    7,826.79x = 10,801.01 × 4,290.02
  4. Step 4: Simplify right side
    7,826.79x = 46,336,582.77
  5. Step 5: Solve for x
    x = 46,336,582.77/7,826.79
  6. Step 6: Final answer
    x = 5,920.26

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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.