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Finding the Fourth Proportional to 7,192.53, 10,738.34 and 6,085.67

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Solution

The fourth proportional to 7,192.53, 10,738.34 and 6,085.67 is: 9,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.53 : 10,738.34 = 6,085.67 : x
  2. Step 2: Convert to fraction form
    7,192.53/10,738.34 = 6,085.67/x
  3. Step 3: Cross multiply
    7,192.53x = 10,738.34 × 6,085.67
  4. Step 4: Simplify right side
    7,192.53x = 65,349,932.29
  5. Step 5: Solve for x
    x = 65,349,932.29/7,192.53
  6. Step 6: Final answer
    x = 9,085.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.