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Finding the Fourth Proportional to 8,764.53, 12,101.76 and 5,784.60

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Solution

The fourth proportional to 8,764.53, 12,101.76 and 5,784.60 is: 7,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.53 : 12,101.76 = 5,784.60 : x
  2. Step 2: Convert to fraction form
    8,764.53/12,101.76 = 5,784.60/x
  3. Step 3: Cross multiply
    8,764.53x = 12,101.76 × 5,784.60
  4. Step 4: Simplify right side
    8,764.53x = 70,003,840.90
  5. Step 5: Solve for x
    x = 70,003,840.90/8,764.53
  6. Step 6: Final answer
    x = 7,987.18

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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.