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Finding the Fourth Proportional to 10,932.65, 15,089.30 and 6,953

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Solution

The fourth proportional to 10,932.65, 15,089.30 and 6,953 is: 9,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.65 : 15,089.30 = 6,953 : x
  2. Step 2: Convert to fraction form
    10,932.65/15,089.30 = 6,953/x
  3. Step 3: Cross multiply
    10,932.65x = 15,089.30 × 6,953
  4. Step 4: Simplify right side
    10,932.65x = 104,915,902.90
  5. Step 5: Solve for x
    x = 104,915,902.90/10,932.65
  6. Step 6: Final answer
    x = 9,596.57

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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.