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Finding the Fourth Proportional to 7,810.32, 11,714.04 and 4,100.88

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Solution

The fourth proportional to 7,810.32, 11,714.04 and 4,100.88 is: 6,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.32 : 11,714.04 = 4,100.88 : x
  2. Step 2: Convert to fraction form
    7,810.32/11,714.04 = 4,100.88/x
  3. Step 3: Cross multiply
    7,810.32x = 11,714.04 × 4,100.88
  4. Step 4: Simplify right side
    7,810.32x = 48,037,872.36
  5. Step 5: Solve for x
    x = 48,037,872.36/7,810.32
  6. Step 6: Final answer
    x = 6,150.56

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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.