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Finding the Fourth Proportional to 7,774.16, 10,728.60 and 4,629.92

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Solution

The fourth proportional to 7,774.16, 10,728.60 and 4,629.92 is: 6,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.16 : 10,728.60 = 4,629.92 : x
  2. Step 2: Convert to fraction form
    7,774.16/10,728.60 = 4,629.92/x
  3. Step 3: Cross multiply
    7,774.16x = 10,728.60 × 4,629.92
  4. Step 4: Simplify right side
    7,774.16x = 49,672,559.71
  5. Step 5: Solve for x
    x = 49,672,559.71/7,774.16
  6. Step 6: Final answer
    x = 6,389.44

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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.