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Finding the Fourth Proportional to 7,878.35, 11,814.08 and 2,332.13

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Solution

The fourth proportional to 7,878.35, 11,814.08 and 2,332.13 is: 3,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.35 : 11,814.08 = 2,332.13 : x
  2. Step 2: Convert to fraction form
    7,878.35/11,814.08 = 2,332.13/x
  3. Step 3: Cross multiply
    7,878.35x = 11,814.08 × 2,332.13
  4. Step 4: Simplify right side
    7,878.35x = 27,551,988.26
  5. Step 5: Solve for x
    x = 27,551,988.26/7,878.35
  6. Step 6: Final answer
    x = 3,497.18

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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.