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Finding the Fourth Proportional to 7,783.32, 11,661.52 and 5,245.68

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Solution

The fourth proportional to 7,783.32, 11,661.52 and 5,245.68 is: 7,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.32 : 11,661.52 = 5,245.68 : x
  2. Step 2: Convert to fraction form
    7,783.32/11,661.52 = 5,245.68/x
  3. Step 3: Cross multiply
    7,783.32x = 11,661.52 × 5,245.68
  4. Step 4: Simplify right side
    7,783.32x = 61,172,602.23
  5. Step 5: Solve for x
    x = 61,172,602.23/7,783.32
  6. Step 6: Final answer
    x = 7,859.45

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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.