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Finding the Fourth Proportional to 10,802.62, 14,909.16 and 6,087.34

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Solution

The fourth proportional to 10,802.62, 14,909.16 and 6,087.34 is: 8,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.62 : 14,909.16 = 6,087.34 : x
  2. Step 2: Convert to fraction form
    10,802.62/14,909.16 = 6,087.34/x
  3. Step 3: Cross multiply
    10,802.62x = 14,909.16 × 6,087.34
  4. Step 4: Simplify right side
    10,802.62x = 90,757,126.03
  5. Step 5: Solve for x
    x = 90,757,126.03/10,802.62
  6. Step 6: Final answer
    x = 8,401.40

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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.