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Finding the Fourth Proportional to 7,774.13, 10,728.68 and 4,416.88

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Solution

The fourth proportional to 7,774.13, 10,728.68 and 4,416.88 is: 6,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.13 : 10,728.68 = 4,416.88 : x
  2. Step 2: Convert to fraction form
    7,774.13/10,728.68 = 4,416.88/x
  3. Step 3: Cross multiply
    7,774.13x = 10,728.68 × 4,416.88
  4. Step 4: Simplify right side
    7,774.13x = 47,387,292.12
  5. Step 5: Solve for x
    x = 47,387,292.12/7,774.13
  6. Step 6: Final answer
    x = 6,095.51

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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.