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Finding the Fourth Proportional to 7,172.64, 9,901.05 and 4,519.53

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Solution

The fourth proportional to 7,172.64, 9,901.05 and 4,519.53 is: 6,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.64 : 9,901.05 = 4,519.53 : x
  2. Step 2: Convert to fraction form
    7,172.64/9,901.05 = 4,519.53/x
  3. Step 3: Cross multiply
    7,172.64x = 9,901.05 × 4,519.53
  4. Step 4: Simplify right side
    7,172.64x = 44,748,092.51
  5. Step 5: Solve for x
    x = 44,748,092.51/7,172.64
  6. Step 6: Final answer
    x = 6,238.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.