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Finding the Fourth Proportional to 7,628.51, 10,537.29 and 5,881.75

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Solution

The fourth proportional to 7,628.51, 10,537.29 and 5,881.75 is: 8,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.51 : 10,537.29 = 5,881.75 : x
  2. Step 2: Convert to fraction form
    7,628.51/10,537.29 = 5,881.75/x
  3. Step 3: Cross multiply
    7,628.51x = 10,537.29 × 5,881.75
  4. Step 4: Simplify right side
    7,628.51x = 61,977,679.11
  5. Step 5: Solve for x
    x = 61,977,679.11/7,628.51
  6. Step 6: Final answer
    x = 8,124.48

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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.