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Finding the Fourth Proportional to 7,647.58, 11,474.88 and 4,533.76

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Solution

The fourth proportional to 7,647.58, 11,474.88 and 4,533.76 is: 6,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.58 : 11,474.88 = 4,533.76 : x
  2. Step 2: Convert to fraction form
    7,647.58/11,474.88 = 4,533.76/x
  3. Step 3: Cross multiply
    7,647.58x = 11,474.88 × 4,533.76
  4. Step 4: Simplify right side
    7,647.58x = 52,024,351.95
  5. Step 5: Solve for x
    x = 52,024,351.95/7,647.58
  6. Step 6: Final answer
    x = 6,802.72

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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.