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Finding the Fourth Proportional to 7,853.58, 10,837.80 and 4,316.76

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Solution

The fourth proportional to 7,853.58, 10,837.80 and 4,316.76 is: 5,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.58 : 10,837.80 = 4,316.76 : x
  2. Step 2: Convert to fraction form
    7,853.58/10,837.80 = 4,316.76/x
  3. Step 3: Cross multiply
    7,853.58x = 10,837.80 × 4,316.76
  4. Step 4: Simplify right side
    7,853.58x = 46,784,181.53
  5. Step 5: Solve for x
    x = 46,784,181.53/7,853.58
  6. Step 6: Final answer
    x = 5,957.05

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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.