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Finding the Fourth Proportional to 7,232.90, 9,970.90 and 5,133.38

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Solution

The fourth proportional to 7,232.90, 9,970.90 and 5,133.38 is: 7,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.90 : 9,970.90 = 5,133.38 : x
  2. Step 2: Convert to fraction form
    7,232.90/9,970.90 = 5,133.38/x
  3. Step 3: Cross multiply
    7,232.90x = 9,970.90 × 5,133.38
  4. Step 4: Simplify right side
    7,232.90x = 51,184,355.95
  5. Step 5: Solve for x
    x = 51,184,355.95/7,232.90
  6. Step 6: Final answer
    x = 7,076.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.