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Finding the Fourth Proportional to 10,442.78, 14,411.70 and 5,727.07

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Solution

The fourth proportional to 10,442.78, 14,411.70 and 5,727.07 is: 7,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.78 : 14,411.70 = 5,727.07 : x
  2. Step 2: Convert to fraction form
    10,442.78/14,411.70 = 5,727.07/x
  3. Step 3: Cross multiply
    10,442.78x = 14,411.70 × 5,727.07
  4. Step 4: Simplify right side
    10,442.78x = 82,536,714.03
  5. Step 5: Solve for x
    x = 82,536,714.03/10,442.78
  6. Step 6: Final answer
    x = 7,903.71

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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.