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Finding the Fourth Proportional to 8,144.58, 11,239.32 and 4,607.76

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Solution

The fourth proportional to 8,144.58, 11,239.32 and 4,607.76 is: 6,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.58 : 11,239.32 = 4,607.76 : x
  2. Step 2: Convert to fraction form
    8,144.58/11,239.32 = 4,607.76/x
  3. Step 3: Cross multiply
    8,144.58x = 11,239.32 × 4,607.76
  4. Step 4: Simplify right side
    8,144.58x = 51,788,089.12
  5. Step 5: Solve for x
    x = 51,788,089.12/8,144.58
  6. Step 6: Final answer
    x = 6,358.60

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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.