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Finding the Fourth Proportional to 7,914.46, 10,923.76 and 4,559.21

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Solution

The fourth proportional to 7,914.46, 10,923.76 and 4,559.21 is: 6,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.46 : 10,923.76 = 4,559.21 : x
  2. Step 2: Convert to fraction form
    7,914.46/10,923.76 = 4,559.21/x
  3. Step 3: Cross multiply
    7,914.46x = 10,923.76 × 4,559.21
  4. Step 4: Simplify right side
    7,914.46x = 49,803,715.83
  5. Step 5: Solve for x
    x = 49,803,715.83/7,914.46
  6. Step 6: Final answer
    x = 6,292.75

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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.