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Finding the Fourth Proportional to 7,732.51, 10,670.92 and 4,195.72

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Solution

The fourth proportional to 7,732.51, 10,670.92 and 4,195.72 is: 5,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.51 : 10,670.92 = 4,195.72 : x
  2. Step 2: Convert to fraction form
    7,732.51/10,670.92 = 4,195.72/x
  3. Step 3: Cross multiply
    7,732.51x = 10,670.92 × 4,195.72
  4. Step 4: Simplify right side
    7,732.51x = 44,772,192.46
  5. Step 5: Solve for x
    x = 44,772,192.46/7,732.51
  6. Step 6: Final answer
    x = 5,790.12

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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.