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Finding the Fourth Proportional to 7,437.72, 11,152.86 and 3,054

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Solution

The fourth proportional to 7,437.72, 11,152.86 and 3,054 is: 4,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.72 : 11,152.86 = 3,054 : x
  2. Step 2: Convert to fraction form
    7,437.72/11,152.86 = 3,054/x
  3. Step 3: Cross multiply
    7,437.72x = 11,152.86 × 3,054
  4. Step 4: Simplify right side
    7,437.72x = 34,060,834.44
  5. Step 5: Solve for x
    x = 34,060,834.44/7,437.72
  6. Step 6: Final answer
    x = 4,579.47

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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.