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Finding the Fourth Proportional to 7,173.12, 10,712.32 and 5,788.16

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Solution

The fourth proportional to 7,173.12, 10,712.32 and 5,788.16 is: 8,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.12 : 10,712.32 = 5,788.16 : x
  2. Step 2: Convert to fraction form
    7,173.12/10,712.32 = 5,788.16/x
  3. Step 3: Cross multiply
    7,173.12x = 10,712.32 × 5,788.16
  4. Step 4: Simplify right side
    7,173.12x = 62,004,622.13
  5. Step 5: Solve for x
    x = 62,004,622.13/7,173.12
  6. Step 6: Final answer
    x = 8,644.02

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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.