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Finding the Fourth Proportional to 7,848.96, 11,773.44 and 2,653.44

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Solution

The fourth proportional to 7,848.96, 11,773.44 and 2,653.44 is: 3,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.96 : 11,773.44 = 2,653.44 : x
  2. Step 2: Convert to fraction form
    7,848.96/11,773.44 = 2,653.44/x
  3. Step 3: Cross multiply
    7,848.96x = 11,773.44 × 2,653.44
  4. Step 4: Simplify right side
    7,848.96x = 31,240,116.63
  5. Step 5: Solve for x
    x = 31,240,116.63/7,848.96
  6. Step 6: Final answer
    x = 3,980.16

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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.