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Finding the Fourth Proportional to 8,583.50, 11,852.12 and 6,899.51

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Solution

The fourth proportional to 8,583.50, 11,852.12 and 6,899.51 is: 9,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.50 : 11,852.12 = 6,899.51 : x
  2. Step 2: Convert to fraction form
    8,583.50/11,852.12 = 6,899.51/x
  3. Step 3: Cross multiply
    8,583.50x = 11,852.12 × 6,899.51
  4. Step 4: Simplify right side
    8,583.50x = 81,773,867.34
  5. Step 5: Solve for x
    x = 81,773,867.34/8,583.50
  6. Step 6: Final answer
    x = 9,526.86

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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.