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Finding the Fourth Proportional to 7,537.68, 10,397.16 and 4,738.32

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Solution

The fourth proportional to 7,537.68, 10,397.16 and 4,738.32 is: 6,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.68 : 10,397.16 = 4,738.32 : x
  2. Step 2: Convert to fraction form
    7,537.68/10,397.16 = 4,738.32/x
  3. Step 3: Cross multiply
    7,537.68x = 10,397.16 × 4,738.32
  4. Step 4: Simplify right side
    7,537.68x = 49,265,071.17
  5. Step 5: Solve for x
    x = 49,265,071.17/7,537.68
  6. Step 6: Final answer
    x = 6,535.84

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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.