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Finding the Fourth Proportional to 7,212.51, 10,755.79 and 6,416.08

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Solution

The fourth proportional to 7,212.51, 10,755.79 and 6,416.08 is: 9,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.51 : 10,755.79 = 6,416.08 : x
  2. Step 2: Convert to fraction form
    7,212.51/10,755.79 = 6,416.08/x
  3. Step 3: Cross multiply
    7,212.51x = 10,755.79 × 6,416.08
  4. Step 4: Simplify right side
    7,212.51x = 69,009,966.17
  5. Step 5: Solve for x
    x = 69,009,966.17/7,212.51
  6. Step 6: Final answer
    x = 9,568.09

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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.