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Finding the Fourth Proportional to 6,526.34, 9,776.34 and 3,011.46

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Solution

The fourth proportional to 6,526.34, 9,776.34 and 3,011.46 is: 4,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.34 : 9,776.34 = 3,011.46 : x
  2. Step 2: Convert to fraction form
    6,526.34/9,776.34 = 3,011.46/x
  3. Step 3: Cross multiply
    6,526.34x = 9,776.34 × 3,011.46
  4. Step 4: Simplify right side
    6,526.34x = 29,441,057.80
  5. Step 5: Solve for x
    x = 29,441,057.80/6,526.34
  6. Step 6: Final answer
    x = 4,511.12

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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.