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Finding the Fourth Proportional to 7,932.06, 10,946.07 and 4,574.67

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Solution

The fourth proportional to 7,932.06, 10,946.07 and 4,574.67 is: 6,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.06 : 10,946.07 = 4,574.67 : x
  2. Step 2: Convert to fraction form
    7,932.06/10,946.07 = 4,574.67/x
  3. Step 3: Cross multiply
    7,932.06x = 10,946.07 × 4,574.67
  4. Step 4: Simplify right side
    7,932.06x = 50,074,658.05
  5. Step 5: Solve for x
    x = 50,074,658.05/7,932.06
  6. Step 6: Final answer
    x = 6,312.94

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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.