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Finding the Fourth Proportional to 7,644.08, 11,466.12 and 6,114.80

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Solution

The fourth proportional to 7,644.08, 11,466.12 and 6,114.80 is: 9,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.08 : 11,466.12 = 6,114.80 : x
  2. Step 2: Convert to fraction form
    7,644.08/11,466.12 = 6,114.80/x
  3. Step 3: Cross multiply
    7,644.08x = 11,466.12 × 6,114.80
  4. Step 4: Simplify right side
    7,644.08x = 70,113,030.58
  5. Step 5: Solve for x
    x = 70,113,030.58/7,644.08
  6. Step 6: Final answer
    x = 9,172.20

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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.