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Finding the Fourth Proportional to 7,783.56, 11,659.82 and 5,312.25

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Solution

The fourth proportional to 7,783.56, 11,659.82 and 5,312.25 is: 7,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.56 : 11,659.82 = 5,312.25 : x
  2. Step 2: Convert to fraction form
    7,783.56/11,659.82 = 5,312.25/x
  3. Step 3: Cross multiply
    7,783.56x = 11,659.82 × 5,312.25
  4. Step 4: Simplify right side
    7,783.56x = 61,939,852.23
  5. Step 5: Solve for x
    x = 61,939,852.23/7,783.56
  6. Step 6: Final answer
    x = 7,957.78

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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.