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Finding the Fourth Proportional to 10,516.84, 14,513.06 and 5,801

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Solution

The fourth proportional to 10,516.84, 14,513.06 and 5,801 is: 8,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.84 : 14,513.06 = 5,801 : x
  2. Step 2: Convert to fraction form
    10,516.84/14,513.06 = 5,801/x
  3. Step 3: Cross multiply
    10,516.84x = 14,513.06 × 5,801
  4. Step 4: Simplify right side
    10,516.84x = 84,190,261.06
  5. Step 5: Solve for x
    x = 84,190,261.06/10,516.84
  6. Step 6: Final answer
    x = 8,005.28

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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.