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Finding the Fourth Proportional to 7,855.83, 10,841.58 and 4,498.74

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Solution

The fourth proportional to 7,855.83, 10,841.58 and 4,498.74 is: 6,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.83 : 10,841.58 = 4,498.74 : x
  2. Step 2: Convert to fraction form
    7,855.83/10,841.58 = 4,498.74/x
  3. Step 3: Cross multiply
    7,855.83x = 10,841.58 × 4,498.74
  4. Step 4: Simplify right side
    7,855.83x = 48,773,449.61
  5. Step 5: Solve for x
    x = 48,773,449.61/7,855.83
  6. Step 6: Final answer
    x = 6,208.57

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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.