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Finding the Fourth Proportional to 7,822.32, 11,736.18 and 4,897.14

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Solution

The fourth proportional to 7,822.32, 11,736.18 and 4,897.14 is: 7,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.32 : 11,736.18 = 4,897.14 : x
  2. Step 2: Convert to fraction form
    7,822.32/11,736.18 = 4,897.14/x
  3. Step 3: Cross multiply
    7,822.32x = 11,736.18 × 4,897.14
  4. Step 4: Simplify right side
    7,822.32x = 57,473,716.53
  5. Step 5: Solve for x
    x = 57,473,716.53/7,822.32
  6. Step 6: Final answer
    x = 7,347.40

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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.