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Finding the Fourth Proportional to 8,565.24, 12,837.63 and 4,407.24

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Solution

The fourth proportional to 8,565.24, 12,837.63 and 4,407.24 is: 6,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.24 : 12,837.63 = 4,407.24 : x
  2. Step 2: Convert to fraction form
    8,565.24/12,837.63 = 4,407.24/x
  3. Step 3: Cross multiply
    8,565.24x = 12,837.63 × 4,407.24
  4. Step 4: Simplify right side
    8,565.24x = 56,578,516.44
  5. Step 5: Solve for x
    x = 56,578,516.44/8,565.24
  6. Step 6: Final answer
    x = 6,605.60

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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.