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Finding the Fourth Proportional to 7,599, 11,389.14 and 5,395.80

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Solution

The fourth proportional to 7,599, 11,389.14 and 5,395.80 is: 8,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599 : 11,389.14 = 5,395.80 : x
  2. Step 2: Convert to fraction form
    7,599/11,389.14 = 5,395.80/x
  3. Step 3: Cross multiply
    7,599x = 11,389.14 × 5,395.80
  4. Step 4: Simplify right side
    7,599x = 61,453,521.61
  5. Step 5: Solve for x
    x = 61,453,521.61/7,599
  6. Step 6: Final answer
    x = 8,087.05

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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.