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Finding the Fourth Proportional to 7,641.64, 10,536.94 and 7,335.46

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Solution

The fourth proportional to 7,641.64, 10,536.94 and 7,335.46 is: 10,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.64 : 10,536.94 = 7,335.46 : x
  2. Step 2: Convert to fraction form
    7,641.64/10,536.94 = 7,335.46/x
  3. Step 3: Cross multiply
    7,641.64x = 10,536.94 × 7,335.46
  4. Step 4: Simplify right side
    7,641.64x = 77,293,282.97
  5. Step 5: Solve for x
    x = 77,293,282.97/7,641.64
  6. Step 6: Final answer
    x = 10,114.75

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