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Finding the Fourth Proportional to 7,844.40, 10,823.64 and 4,699.44

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Solution

The fourth proportional to 7,844.40, 10,823.64 and 4,699.44 is: 6,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.40 : 10,823.64 = 4,699.44 : x
  2. Step 2: Convert to fraction form
    7,844.40/10,823.64 = 4,699.44/x
  3. Step 3: Cross multiply
    7,844.40x = 10,823.64 × 4,699.44
  4. Step 4: Simplify right side
    7,844.40x = 50,865,046.76
  5. Step 5: Solve for x
    x = 50,865,046.76/7,844.40
  6. Step 6: Final answer
    x = 6,484.25

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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.