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Finding the Fourth Proportional to 7,657.58, 11,486.38 and 3,039.50

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Solution

The fourth proportional to 7,657.58, 11,486.38 and 3,039.50 is: 4,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.58 : 11,486.38 = 3,039.50 : x
  2. Step 2: Convert to fraction form
    7,657.58/11,486.38 = 3,039.50/x
  3. Step 3: Cross multiply
    7,657.58x = 11,486.38 × 3,039.50
  4. Step 4: Simplify right side
    7,657.58x = 34,912,852.01
  5. Step 5: Solve for x
    x = 34,912,852.01/7,657.58
  6. Step 6: Final answer
    x = 4,559.25

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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.