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Finding the Fourth Proportional to 7,217.84, 10,805.64 and 6,526.10

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Solution

The fourth proportional to 7,217.84, 10,805.64 and 6,526.10 is: 9,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.84 : 10,805.64 = 6,526.10 : x
  2. Step 2: Convert to fraction form
    7,217.84/10,805.64 = 6,526.10/x
  3. Step 3: Cross multiply
    7,217.84x = 10,805.64 × 6,526.10
  4. Step 4: Simplify right side
    7,217.84x = 70,518,687.20
  5. Step 5: Solve for x
    x = 70,518,687.20/7,217.84
  6. Step 6: Final answer
    x = 9,770.05

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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.