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Finding the Fourth Proportional to 7,714.86, 10,646.49 and 4,178.10

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Solution

The fourth proportional to 7,714.86, 10,646.49 and 4,178.10 is: 5,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.86 : 10,646.49 = 4,178.10 : x
  2. Step 2: Convert to fraction form
    7,714.86/10,646.49 = 4,178.10/x
  3. Step 3: Cross multiply
    7,714.86x = 10,646.49 × 4,178.10
  4. Step 4: Simplify right side
    7,714.86x = 44,482,099.87
  5. Step 5: Solve for x
    x = 44,482,099.87/7,714.86
  6. Step 6: Final answer
    x = 5,765.77

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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.