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Finding the Fourth Proportional to 7,497.08, 11,245.80 and 2,303

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Solution

The fourth proportional to 7,497.08, 11,245.80 and 2,303 is: 3,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.08 : 11,245.80 = 2,303 : x
  2. Step 2: Convert to fraction form
    7,497.08/11,245.80 = 2,303/x
  3. Step 3: Cross multiply
    7,497.08x = 11,245.80 × 2,303
  4. Step 4: Simplify right side
    7,497.08x = 25,899,077.40
  5. Step 5: Solve for x
    x = 25,899,077.40/7,497.08
  6. Step 6: Final answer
    x = 3,454.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.