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Finding the Fourth Proportional to 7,477.22, 10,307.79 and 5,232.14

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Solution

The fourth proportional to 7,477.22, 10,307.79 and 5,232.14 is: 7,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.22 : 10,307.79 = 5,232.14 : x
  2. Step 2: Convert to fraction form
    7,477.22/10,307.79 = 5,232.14/x
  3. Step 3: Cross multiply
    7,477.22x = 10,307.79 × 5,232.14
  4. Step 4: Simplify right side
    7,477.22x = 53,931,800.37
  5. Step 5: Solve for x
    x = 53,931,800.37/7,477.22
  6. Step 6: Final answer
    x = 7,212.81

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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.