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Finding the Fourth Proportional to 10,732.56, 14,806.56 and 6,697

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Solution

The fourth proportional to 10,732.56, 14,806.56 and 6,697 is: 9,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.56 : 14,806.56 = 6,697 : x
  2. Step 2: Convert to fraction form
    10,732.56/14,806.56 = 6,697/x
  3. Step 3: Cross multiply
    10,732.56x = 14,806.56 × 6,697
  4. Step 4: Simplify right side
    10,732.56x = 99,159,532.32
  5. Step 5: Solve for x
    x = 99,159,532.32/10,732.56
  6. Step 6: Final answer
    x = 9,239.13

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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.