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Finding the Fourth Proportional to 10,043.84, 15,064.32 and 3,116

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Solution

The fourth proportional to 10,043.84, 15,064.32 and 3,116 is: 4,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.84 : 15,064.32 = 3,116 : x
  2. Step 2: Convert to fraction form
    10,043.84/15,064.32 = 3,116/x
  3. Step 3: Cross multiply
    10,043.84x = 15,064.32 × 3,116
  4. Step 4: Simplify right side
    10,043.84x = 46,940,421.12
  5. Step 5: Solve for x
    x = 46,940,421.12/10,043.84
  6. Step 6: Final answer
    x = 4,673.55

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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.