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Finding the Fourth Proportional to 7,710, 11,573.33 and 3,822.63

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Solution

The fourth proportional to 7,710, 11,573.33 and 3,822.63 is: 5,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710 : 11,573.33 = 3,822.63 : x
  2. Step 2: Convert to fraction form
    7,710/11,573.33 = 3,822.63/x
  3. Step 3: Cross multiply
    7,710x = 11,573.33 × 3,822.63
  4. Step 4: Simplify right side
    7,710x = 44,240,539.34
  5. Step 5: Solve for x
    x = 44,240,539.34/7,710
  6. Step 6: Final answer
    x = 5,738.07

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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.