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Finding the Fourth Proportional to 7,444.48, 11,164.08 and 2,178

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Solution

The fourth proportional to 7,444.48, 11,164.08 and 2,178 is: 3,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.48 : 11,164.08 = 2,178 : x
  2. Step 2: Convert to fraction form
    7,444.48/11,164.08 = 2,178/x
  3. Step 3: Cross multiply
    7,444.48x = 11,164.08 × 2,178
  4. Step 4: Simplify right side
    7,444.48x = 24,315,366.24
  5. Step 5: Solve for x
    x = 24,315,366.24/7,444.48
  6. Step 6: Final answer
    x = 3,266.23

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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.