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Finding the Fourth Proportional to 7,431.51, 10,256.79 and 5,644.91

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Solution

The fourth proportional to 7,431.51, 10,256.79 and 5,644.91 is: 7,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.51 : 10,256.79 = 5,644.91 : x
  2. Step 2: Convert to fraction form
    7,431.51/10,256.79 = 5,644.91/x
  3. Step 3: Cross multiply
    7,431.51x = 10,256.79 × 5,644.91
  4. Step 4: Simplify right side
    7,431.51x = 57,898,605.15
  5. Step 5: Solve for x
    x = 57,898,605.15/7,431.51
  6. Step 6: Final answer
    x = 7,790.96

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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.