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Finding the Fourth Proportional to 8,405.16, 11,599.38 and 6,305.64

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Solution

The fourth proportional to 8,405.16, 11,599.38 and 6,305.64 is: 8,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.16 : 11,599.38 = 6,305.64 : x
  2. Step 2: Convert to fraction form
    8,405.16/11,599.38 = 6,305.64/x
  3. Step 3: Cross multiply
    8,405.16x = 11,599.38 × 6,305.64
  4. Step 4: Simplify right side
    8,405.16x = 73,141,514.50
  5. Step 5: Solve for x
    x = 73,141,514.50/8,405.16
  6. Step 6: Final answer
    x = 8,701.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.