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Finding the Fourth Proportional to 7,767.50, 11,654.08 and 4,848.26

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Solution

The fourth proportional to 7,767.50, 11,654.08 and 4,848.26 is: 7,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.50 : 11,654.08 = 4,848.26 : x
  2. Step 2: Convert to fraction form
    7,767.50/11,654.08 = 4,848.26/x
  3. Step 3: Cross multiply
    7,767.50x = 11,654.08 × 4,848.26
  4. Step 4: Simplify right side
    7,767.50x = 56,501,939.51
  5. Step 5: Solve for x
    x = 56,501,939.51/7,767.50
  6. Step 6: Final answer
    x = 7,274.15

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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.