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Finding the Fourth Proportional to 10,011.62, 13,821.66 and 6,659

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Solution

The fourth proportional to 10,011.62, 13,821.66 and 6,659 is: 9,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.62 : 13,821.66 = 6,659 : x
  2. Step 2: Convert to fraction form
    10,011.62/13,821.66 = 6,659/x
  3. Step 3: Cross multiply
    10,011.62x = 13,821.66 × 6,659
  4. Step 4: Simplify right side
    10,011.62x = 92,038,433.94
  5. Step 5: Solve for x
    x = 92,038,433.94/10,011.62
  6. Step 6: Final answer
    x = 9,193.16

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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.