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Finding the Fourth Proportional to 7,801.34, 11,706.06 and 3,640.16

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Solution

The fourth proportional to 7,801.34, 11,706.06 and 3,640.16 is: 5,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.34 : 11,706.06 = 3,640.16 : x
  2. Step 2: Convert to fraction form
    7,801.34/11,706.06 = 3,640.16/x
  3. Step 3: Cross multiply
    7,801.34x = 11,706.06 × 3,640.16
  4. Step 4: Simplify right side
    7,801.34x = 42,611,931.37
  5. Step 5: Solve for x
    x = 42,611,931.37/7,801.34
  6. Step 6: Final answer
    x = 5,462.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.