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Finding the Fourth Proportional to 7,637.48, 11,459.90 and 4,174.64

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Solution

The fourth proportional to 7,637.48, 11,459.90 and 4,174.64 is: 6,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.48 : 11,459.90 = 4,174.64 : x
  2. Step 2: Convert to fraction form
    7,637.48/11,459.90 = 4,174.64/x
  3. Step 3: Cross multiply
    7,637.48x = 11,459.90 × 4,174.64
  4. Step 4: Simplify right side
    7,637.48x = 47,840,956.94
  5. Step 5: Solve for x
    x = 47,840,956.94/7,637.48
  6. Step 6: Final answer
    x = 6,263.97

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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.