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Finding the Fourth Proportional to 7,857.30, 10,841.94 and 4,499.58

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Solution

The fourth proportional to 7,857.30, 10,841.94 and 4,499.58 is: 6,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.30 : 10,841.94 = 4,499.58 : x
  2. Step 2: Convert to fraction form
    7,857.30/10,841.94 = 4,499.58/x
  3. Step 3: Cross multiply
    7,857.30x = 10,841.94 × 4,499.58
  4. Step 4: Simplify right side
    7,857.30x = 48,784,176.39
  5. Step 5: Solve for x
    x = 48,784,176.39/7,857.30
  6. Step 6: Final answer
    x = 6,208.77

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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.