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Finding the Fourth Proportional to 7,633.16, 11,495.42 and 6,718.64

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Solution

The fourth proportional to 7,633.16, 11,495.42 and 6,718.64 is: 10,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.16 : 11,495.42 = 6,718.64 : x
  2. Step 2: Convert to fraction form
    7,633.16/11,495.42 = 6,718.64/x
  3. Step 3: Cross multiply
    7,633.16x = 11,495.42 × 6,718.64
  4. Step 4: Simplify right side
    7,633.16x = 77,233,588.63
  5. Step 5: Solve for x
    x = 77,233,588.63/7,633.16
  6. Step 6: Final answer
    x = 10,118.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.