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Finding the Fourth Proportional to 8,785.51, 13,163.64 and 6,182.98

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Solution

The fourth proportional to 8,785.51, 13,163.64 and 6,182.98 is: 9,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.51 : 13,163.64 = 6,182.98 : x
  2. Step 2: Convert to fraction form
    8,785.51/13,163.64 = 6,182.98/x
  3. Step 3: Cross multiply
    8,785.51x = 13,163.64 × 6,182.98
  4. Step 4: Simplify right side
    8,785.51x = 81,390,522.85
  5. Step 5: Solve for x
    x = 81,390,522.85/8,785.51
  6. Step 6: Final answer
    x = 9,264.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.