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Finding the Fourth Proportional to 10,584.16, 14,599.68 and 8,342.56

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Solution

The fourth proportional to 10,584.16, 14,599.68 and 8,342.56 is: 11,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.16 : 14,599.68 = 8,342.56 : x
  2. Step 2: Convert to fraction form
    10,584.16/14,599.68 = 8,342.56/x
  3. Step 3: Cross multiply
    10,584.16x = 14,599.68 × 8,342.56
  4. Step 4: Simplify right side
    10,584.16x = 121,798,706.38
  5. Step 5: Solve for x
    x = 121,798,706.38/10,584.16
  6. Step 6: Final answer
    x = 11,507.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.