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Finding the Fourth Proportional to 7,516.03, 11,261.31 and 5,314

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Solution

The fourth proportional to 7,516.03, 11,261.31 and 5,314 is: 7,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.03 : 11,261.31 = 5,314 : x
  2. Step 2: Convert to fraction form
    7,516.03/11,261.31 = 5,314/x
  3. Step 3: Cross multiply
    7,516.03x = 11,261.31 × 5,314
  4. Step 4: Simplify right side
    7,516.03x = 59,842,601.34
  5. Step 5: Solve for x
    x = 59,842,601.34/7,516.03
  6. Step 6: Final answer
    x = 7,962.00

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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.