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Finding the Fourth Proportional to 7,580.37, 11,370 and 3,364.95

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Solution

The fourth proportional to 7,580.37, 11,370 and 3,364.95 is: 5,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.37 : 11,370 = 3,364.95 : x
  2. Step 2: Convert to fraction form
    7,580.37/11,370 = 3,364.95/x
  3. Step 3: Cross multiply
    7,580.37x = 11,370 × 3,364.95
  4. Step 4: Simplify right side
    7,580.37x = 38,259,481.50
  5. Step 5: Solve for x
    x = 38,259,481.50/7,580.37
  6. Step 6: Final answer
    x = 5,047.18

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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.