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Finding the Fourth Proportional to 10,207.64, 15,312.02 and 3,188.61

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Solution

The fourth proportional to 10,207.64, 15,312.02 and 3,188.61 is: 4,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.64 : 15,312.02 = 3,188.61 : x
  2. Step 2: Convert to fraction form
    10,207.64/15,312.02 = 3,188.61/x
  3. Step 3: Cross multiply
    10,207.64x = 15,312.02 × 3,188.61
  4. Step 4: Simplify right side
    10,207.64x = 48,824,044.15
  5. Step 5: Solve for x
    x = 48,824,044.15/10,207.64
  6. Step 6: Final answer
    x = 4,783.09

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