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Finding the Fourth Proportional to 7,716.64, 10,646.48 and 4,729.36

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Solution

The fourth proportional to 7,716.64, 10,646.48 and 4,729.36 is: 6,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.64 : 10,646.48 = 4,729.36 : x
  2. Step 2: Convert to fraction form
    7,716.64/10,646.48 = 4,729.36/x
  3. Step 3: Cross multiply
    7,716.64x = 10,646.48 × 4,729.36
  4. Step 4: Simplify right side
    7,716.64x = 50,351,036.65
  5. Step 5: Solve for x
    x = 50,351,036.65/7,716.64
  6. Step 6: Final answer
    x = 6,524.99

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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.