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Finding the Fourth Proportional to 10,292.57, 14,203.71 and 5,576.84

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Solution

The fourth proportional to 10,292.57, 14,203.71 and 5,576.84 is: 7,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.57 : 14,203.71 = 5,576.84 : x
  2. Step 2: Convert to fraction form
    10,292.57/14,203.71 = 5,576.84/x
  3. Step 3: Cross multiply
    10,292.57x = 14,203.71 × 5,576.84
  4. Step 4: Simplify right side
    10,292.57x = 79,211,747.06
  5. Step 5: Solve for x
    x = 79,211,747.06/10,292.57
  6. Step 6: Final answer
    x = 7,696.02

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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.