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Finding the Fourth Proportional to 7,664.80, 11,486.40 and 4,734.40

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Solution

The fourth proportional to 7,664.80, 11,486.40 and 4,734.40 is: 7,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.80 : 11,486.40 = 4,734.40 : x
  2. Step 2: Convert to fraction form
    7,664.80/11,486.40 = 4,734.40/x
  3. Step 3: Cross multiply
    7,664.80x = 11,486.40 × 4,734.40
  4. Step 4: Simplify right side
    7,664.80x = 54,381,212.16
  5. Step 5: Solve for x
    x = 54,381,212.16/7,664.80
  6. Step 6: Final answer
    x = 7,094.93

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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.