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Finding the Fourth Proportional to 8,823.08, 13,234.62 and 4,205

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Solution

The fourth proportional to 8,823.08, 13,234.62 and 4,205 is: 6,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.08 : 13,234.62 = 4,205 : x
  2. Step 2: Convert to fraction form
    8,823.08/13,234.62 = 4,205/x
  3. Step 3: Cross multiply
    8,823.08x = 13,234.62 × 4,205
  4. Step 4: Simplify right side
    8,823.08x = 55,651,577.10
  5. Step 5: Solve for x
    x = 55,651,577.10/8,823.08
  6. Step 6: Final answer
    x = 6,307.50

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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.