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Finding the Fourth Proportional to 7,701.64, 11,552.42 and 3,018.34

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Solution

The fourth proportional to 7,701.64, 11,552.42 and 3,018.34 is: 4,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.64 : 11,552.42 = 3,018.34 : x
  2. Step 2: Convert to fraction form
    7,701.64/11,552.42 = 3,018.34/x
  3. Step 3: Cross multiply
    7,701.64x = 11,552.42 × 3,018.34
  4. Step 4: Simplify right side
    7,701.64x = 34,869,153.37
  5. Step 5: Solve for x
    x = 34,869,153.37/7,701.64
  6. Step 6: Final answer
    x = 4,527.50

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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.