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Finding the Fourth Proportional to 7,380, 11,056.50 and 5,802.12

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Solution

The fourth proportional to 7,380, 11,056.50 and 5,802.12 is: 8,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380 : 11,056.50 = 5,802.12 : x
  2. Step 2: Convert to fraction form
    7,380/11,056.50 = 5,802.12/x
  3. Step 3: Cross multiply
    7,380x = 11,056.50 × 5,802.12
  4. Step 4: Simplify right side
    7,380x = 64,151,139.78
  5. Step 5: Solve for x
    x = 64,151,139.78/7,380
  6. Step 6: Final answer
    x = 8,692.57

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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.