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Finding the Fourth Proportional to 5,211.36, 7,773.54 and 4,713.12

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Solution

The fourth proportional to 5,211.36, 7,773.54 and 4,713.12 is: 7,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.36 : 7,773.54 = 4,713.12 : x
  2. Step 2: Convert to fraction form
    5,211.36/7,773.54 = 4,713.12/x
  3. Step 3: Cross multiply
    5,211.36x = 7,773.54 × 4,713.12
  4. Step 4: Simplify right side
    5,211.36x = 36,637,626.84
  5. Step 5: Solve for x
    x = 36,637,626.84/5,211.36
  6. Step 6: Final answer
    x = 7,030.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.