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Finding the Fourth Proportional to 7,814.70, 11,723.08 and 2,547.86

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Solution

The fourth proportional to 7,814.70, 11,723.08 and 2,547.86 is: 3,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.70 : 11,723.08 = 2,547.86 : x
  2. Step 2: Convert to fraction form
    7,814.70/11,723.08 = 2,547.86/x
  3. Step 3: Cross multiply
    7,814.70x = 11,723.08 × 2,547.86
  4. Step 4: Simplify right side
    7,814.70x = 29,868,799.10
  5. Step 5: Solve for x
    x = 29,868,799.10/7,814.70
  6. Step 6: Final answer
    x = 3,822.13

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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.