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Finding the Fourth Proportional to 6,997.17, 10,492.59 and 2,065.08

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Solution

The fourth proportional to 6,997.17, 10,492.59 and 2,065.08 is: 3,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.17 : 10,492.59 = 2,065.08 : x
  2. Step 2: Convert to fraction form
    6,997.17/10,492.59 = 2,065.08/x
  3. Step 3: Cross multiply
    6,997.17x = 10,492.59 × 2,065.08
  4. Step 4: Simplify right side
    6,997.17x = 21,668,037.76
  5. Step 5: Solve for x
    x = 21,668,037.76/6,997.17
  6. Step 6: Final answer
    x = 3,096.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.