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Finding the Fourth Proportional to 7,419.42, 10,235.07 and 4,622.94

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Solution

The fourth proportional to 7,419.42, 10,235.07 and 4,622.94 is: 6,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.42 : 10,235.07 = 4,622.94 : x
  2. Step 2: Convert to fraction form
    7,419.42/10,235.07 = 4,622.94/x
  3. Step 3: Cross multiply
    7,419.42x = 10,235.07 × 4,622.94
  4. Step 4: Simplify right side
    7,419.42x = 47,316,114.51
  5. Step 5: Solve for x
    x = 47,316,114.51/7,419.42
  6. Step 6: Final answer
    x = 6,377.33

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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.