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Finding the Fourth Proportional to 7,716.24, 11,506.59 and 7,646.07

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Solution

The fourth proportional to 7,716.24, 11,506.59 and 7,646.07 is: 11,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.24 : 11,506.59 = 7,646.07 : x
  2. Step 2: Convert to fraction form
    7,716.24/11,506.59 = 7,646.07/x
  3. Step 3: Cross multiply
    7,716.24x = 11,506.59 × 7,646.07
  4. Step 4: Simplify right side
    7,716.24x = 87,980,192.60
  5. Step 5: Solve for x
    x = 87,980,192.60/7,716.24
  6. Step 6: Final answer
    x = 11,401.95

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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.