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Finding the Fourth Proportional to 10,019.16, 13,830.48 and 6,043.68

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Solution

The fourth proportional to 10,019.16, 13,830.48 and 6,043.68 is: 8,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.16 : 13,830.48 = 6,043.68 : x
  2. Step 2: Convert to fraction form
    10,019.16/13,830.48 = 6,043.68/x
  3. Step 3: Cross multiply
    10,019.16x = 13,830.48 × 6,043.68
  4. Step 4: Simplify right side
    10,019.16x = 83,586,995.37
  5. Step 5: Solve for x
    x = 83,586,995.37/10,019.16
  6. Step 6: Final answer
    x = 8,342.71

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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.