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Finding the Fourth Proportional to 7,178.16, 9,907.81 and 4,660.13

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Solution

The fourth proportional to 7,178.16, 9,907.81 and 4,660.13 is: 6,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.16 : 9,907.81 = 4,660.13 : x
  2. Step 2: Convert to fraction form
    7,178.16/9,907.81 = 4,660.13/x
  3. Step 3: Cross multiply
    7,178.16x = 9,907.81 × 4,660.13
  4. Step 4: Simplify right side
    7,178.16x = 46,171,682.62
  5. Step 5: Solve for x
    x = 46,171,682.62/7,178.16
  6. Step 6: Final answer
    x = 6,432.24

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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.