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Finding the Fourth Proportional to 7,722.68, 10,643.02 and 5,484.64

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Solution

The fourth proportional to 7,722.68, 10,643.02 and 5,484.64 is: 7,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.68 : 10,643.02 = 5,484.64 : x
  2. Step 2: Convert to fraction form
    7,722.68/10,643.02 = 5,484.64/x
  3. Step 3: Cross multiply
    7,722.68x = 10,643.02 × 5,484.64
  4. Step 4: Simplify right side
    7,722.68x = 58,373,133.21
  5. Step 5: Solve for x
    x = 58,373,133.21/7,722.68
  6. Step 6: Final answer
    x = 7,558.66

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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.