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Finding the Fourth Proportional to 7,222.85, 10,833.65 and 5,123.50

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Solution

The fourth proportional to 7,222.85, 10,833.65 and 5,123.50 is: 7,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.85 : 10,833.65 = 5,123.50 : x
  2. Step 2: Convert to fraction form
    7,222.85/10,833.65 = 5,123.50/x
  3. Step 3: Cross multiply
    7,222.85x = 10,833.65 × 5,123.50
  4. Step 4: Simplify right side
    7,222.85x = 55,506,153.07
  5. Step 5: Solve for x
    x = 55,506,153.07/7,222.85
  6. Step 6: Final answer
    x = 7,684.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.