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Finding the Fourth Proportional to 8,231.63, 11,359.74 and 4,695.05

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Solution

The fourth proportional to 8,231.63, 11,359.74 and 4,695.05 is: 6,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 11,359.74 = 4,695.05 : x
  2. Step 2: Convert to fraction form
    8,231.63/11,359.74 = 4,695.05/x
  3. Step 3: Cross multiply
    8,231.63x = 11,359.74 × 4,695.05
  4. Step 4: Simplify right side
    8,231.63x = 53,334,547.29
  5. Step 5: Solve for x
    x = 53,334,547.29/8,231.63
  6. Step 6: Final answer
    x = 6,479.22

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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.