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Finding the Fourth Proportional to 7,275.22, 10,043.64 and 4,897.68

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Solution

The fourth proportional to 7,275.22, 10,043.64 and 4,897.68 is: 6,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.22 : 10,043.64 = 4,897.68 : x
  2. Step 2: Convert to fraction form
    7,275.22/10,043.64 = 4,897.68/x
  3. Step 3: Cross multiply
    7,275.22x = 10,043.64 × 4,897.68
  4. Step 4: Simplify right side
    7,275.22x = 49,190,534.76
  5. Step 5: Solve for x
    x = 49,190,534.76/7,275.22
  6. Step 6: Final answer
    x = 6,761.38

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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.