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Finding the Fourth Proportional to 10,627.84, 14,666.16 and 6,150.97

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Solution

The fourth proportional to 10,627.84, 14,666.16 and 6,150.97 is: 8,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.84 : 14,666.16 = 6,150.97 : x
  2. Step 2: Convert to fraction form
    10,627.84/14,666.16 = 6,150.97/x
  3. Step 3: Cross multiply
    10,627.84x = 14,666.16 × 6,150.97
  4. Step 4: Simplify right side
    10,627.84x = 90,211,110.18
  5. Step 5: Solve for x
    x = 90,211,110.18/10,627.84
  6. Step 6: Final answer
    x = 8,488.19

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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.