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Finding the Fourth Proportional to 7,810.58, 11,718.61 and 3,427.47

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Solution

The fourth proportional to 7,810.58, 11,718.61 and 3,427.47 is: 5,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.58 : 11,718.61 = 3,427.47 : x
  2. Step 2: Convert to fraction form
    7,810.58/11,718.61 = 3,427.47/x
  3. Step 3: Cross multiply
    7,810.58x = 11,718.61 × 3,427.47
  4. Step 4: Simplify right side
    7,810.58x = 40,165,175.65
  5. Step 5: Solve for x
    x = 40,165,175.65/7,810.58
  6. Step 6: Final answer
    x = 5,142.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.