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Finding the Fourth Proportional to 10,467.68, 14,445.50 and 5,687.64

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Solution

The fourth proportional to 10,467.68, 14,445.50 and 5,687.64 is: 7,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.68 : 14,445.50 = 5,687.64 : x
  2. Step 2: Convert to fraction form
    10,467.68/14,445.50 = 5,687.64/x
  3. Step 3: Cross multiply
    10,467.68x = 14,445.50 × 5,687.64
  4. Step 4: Simplify right side
    10,467.68x = 82,160,775.18
  5. Step 5: Solve for x
    x = 82,160,775.18/10,467.68
  6. Step 6: Final answer
    x = 7,849.00

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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.