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Finding the Fourth Proportional to 6,987.82, 10,472.47 and 5,130.25

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Solution

The fourth proportional to 6,987.82, 10,472.47 and 5,130.25 is: 7,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.82 : 10,472.47 = 5,130.25 : x
  2. Step 2: Convert to fraction form
    6,987.82/10,472.47 = 5,130.25/x
  3. Step 3: Cross multiply
    6,987.82x = 10,472.47 × 5,130.25
  4. Step 4: Simplify right side
    6,987.82x = 53,726,389.22
  5. Step 5: Solve for x
    x = 53,726,389.22/6,987.82
  6. Step 6: Final answer
    x = 7,688.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.