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Finding the Fourth Proportional to 7,710.22, 10,629.79 and 5,588.83

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Solution

The fourth proportional to 7,710.22, 10,629.79 and 5,588.83 is: 7,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.22 : 10,629.79 = 5,588.83 : x
  2. Step 2: Convert to fraction form
    7,710.22/10,629.79 = 5,588.83/x
  3. Step 3: Cross multiply
    7,710.22x = 10,629.79 × 5,588.83
  4. Step 4: Simplify right side
    7,710.22x = 59,408,089.25
  5. Step 5: Solve for x
    x = 59,408,089.25/7,710.22
  6. Step 6: Final answer
    x = 7,705.11

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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.