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Finding the Fourth Proportional to 5,764.16, 7,931.04 and 5,633.12

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Solution

The fourth proportional to 5,764.16, 7,931.04 and 5,633.12 is: 7,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.16 : 7,931.04 = 5,633.12 : x
  2. Step 2: Convert to fraction form
    5,764.16/7,931.04 = 5,633.12/x
  3. Step 3: Cross multiply
    5,764.16x = 7,931.04 × 5,633.12
  4. Step 4: Simplify right side
    5,764.16x = 44,676,500.04
  5. Step 5: Solve for x
    x = 44,676,500.04/5,764.16
  6. Step 6: Final answer
    x = 7,750.74

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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.