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Finding the Fourth Proportional to 10,712.54, 14,768.91 and 7,521.56

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Solution

The fourth proportional to 10,712.54, 14,768.91 and 7,521.56 is: 10,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.54 : 14,768.91 = 7,521.56 : x
  2. Step 2: Convert to fraction form
    10,712.54/14,768.91 = 7,521.56/x
  3. Step 3: Cross multiply
    10,712.54x = 14,768.91 × 7,521.56
  4. Step 4: Simplify right side
    10,712.54x = 111,085,242.70
  5. Step 5: Solve for x
    x = 111,085,242.70/10,712.54
  6. Step 6: Final answer
    x = 10,369.65

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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.