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Finding the Fourth Proportional to 10,292.65, 14,203.04 and 5,816.79

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Solution

The fourth proportional to 10,292.65, 14,203.04 and 5,816.79 is: 8,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.65 : 14,203.04 = 5,816.79 : x
  2. Step 2: Convert to fraction form
    10,292.65/14,203.04 = 5,816.79/x
  3. Step 3: Cross multiply
    10,292.65x = 14,203.04 × 5,816.79
  4. Step 4: Simplify right side
    10,292.65x = 82,616,071.96
  5. Step 5: Solve for x
    x = 82,616,071.96/10,292.65
  6. Step 6: Final answer
    x = 8,026.71

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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.