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Finding the Fourth Proportional to 7,078.07, 9,758.72 and 4,424.51

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Solution

The fourth proportional to 7,078.07, 9,758.72 and 4,424.51 is: 6,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.07 : 9,758.72 = 4,424.51 : x
  2. Step 2: Convert to fraction form
    7,078.07/9,758.72 = 4,424.51/x
  3. Step 3: Cross multiply
    7,078.07x = 9,758.72 × 4,424.51
  4. Step 4: Simplify right side
    7,078.07x = 43,177,483.31
  5. Step 5: Solve for x
    x = 43,177,483.31/7,078.07
  6. Step 6: Final answer
    x = 6,100.18

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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.