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Finding the Fourth Proportional to 7,582.50, 11,372.54 and 5,384.57

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Solution

The fourth proportional to 7,582.50, 11,372.54 and 5,384.57 is: 8,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.50 : 11,372.54 = 5,384.57 : x
  2. Step 2: Convert to fraction form
    7,582.50/11,372.54 = 5,384.57/x
  3. Step 3: Cross multiply
    7,582.50x = 11,372.54 × 5,384.57
  4. Step 4: Simplify right side
    7,582.50x = 61,236,153.92
  5. Step 5: Solve for x
    x = 61,236,153.92/7,582.50
  6. Step 6: Final answer
    x = 8,075.98

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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.