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Finding the Fourth Proportional to 10,873.22, 16,312.35 and 3,852.86

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Solution

The fourth proportional to 10,873.22, 16,312.35 and 3,852.86 is: 5,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.22 : 16,312.35 = 3,852.86 : x
  2. Step 2: Convert to fraction form
    10,873.22/16,312.35 = 3,852.86/x
  3. Step 3: Cross multiply
    10,873.22x = 16,312.35 × 3,852.86
  4. Step 4: Simplify right side
    10,873.22x = 62,849,200.82
  5. Step 5: Solve for x
    x = 62,849,200.82/10,873.22
  6. Step 6: Final answer
    x = 5,780.18

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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.