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Finding the Fourth Proportional to 7,192.40, 9,924.80 and 4,207.64

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Solution

The fourth proportional to 7,192.40, 9,924.80 and 4,207.64 is: 5,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.40 : 9,924.80 = 4,207.64 : x
  2. Step 2: Convert to fraction form
    7,192.40/9,924.80 = 4,207.64/x
  3. Step 3: Cross multiply
    7,192.40x = 9,924.80 × 4,207.64
  4. Step 4: Simplify right side
    7,192.40x = 41,759,914.81
  5. Step 5: Solve for x
    x = 41,759,914.81/7,192.40
  6. Step 6: Final answer
    x = 5,806.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.