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Finding the Fourth Proportional to 8,572.24, 11,828.36 and 4,846.16

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Solution

The fourth proportional to 8,572.24, 11,828.36 and 4,846.16 is: 6,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.24 : 11,828.36 = 4,846.16 : x
  2. Step 2: Convert to fraction form
    8,572.24/11,828.36 = 4,846.16/x
  3. Step 3: Cross multiply
    8,572.24x = 11,828.36 × 4,846.16
  4. Step 4: Simplify right side
    8,572.24x = 57,322,125.10
  5. Step 5: Solve for x
    x = 57,322,125.10/8,572.24
  6. Step 6: Final answer
    x = 6,686.95

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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.