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Finding the Fourth Proportional to 7,645.44, 11,460.48 and 3,259.52

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Solution

The fourth proportional to 7,645.44, 11,460.48 and 3,259.52 is: 4,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.44 : 11,460.48 = 3,259.52 : x
  2. Step 2: Convert to fraction form
    7,645.44/11,460.48 = 3,259.52/x
  3. Step 3: Cross multiply
    7,645.44x = 11,460.48 × 3,259.52
  4. Step 4: Simplify right side
    7,645.44x = 37,355,663.77
  5. Step 5: Solve for x
    x = 37,355,663.77/7,645.44
  6. Step 6: Final answer
    x = 4,886.01

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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.