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Finding the Fourth Proportional to 8,484.48, 11,698.56 and 7,862.40

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Solution

The fourth proportional to 8,484.48, 11,698.56 and 7,862.40 is: 10,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.48 : 11,698.56 = 7,862.40 : x
  2. Step 2: Convert to fraction form
    8,484.48/11,698.56 = 7,862.40/x
  3. Step 3: Cross multiply
    8,484.48x = 11,698.56 × 7,862.40
  4. Step 4: Simplify right side
    8,484.48x = 91,978,758.14
  5. Step 5: Solve for x
    x = 91,978,758.14/8,484.48
  6. Step 6: Final answer
    x = 10,840.82

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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.