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Finding the Fourth Proportional to 7,360.71, 11,031.71 and 3,459.75

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Solution

The fourth proportional to 7,360.71, 11,031.71 and 3,459.75 is: 5,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,360.71 : 11,031.71 = 3,459.75 : x
  2. Step 2: Convert to fraction form
    7,360.71/11,031.71 = 3,459.75/x
  3. Step 3: Cross multiply
    7,360.71x = 11,031.71 × 3,459.75
  4. Step 4: Simplify right side
    7,360.71x = 38,166,941.37
  5. Step 5: Solve for x
    x = 38,166,941.37/7,360.71
  6. Step 6: Final answer
    x = 5,185.23

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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.