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Finding the Fourth Proportional to 7,458.70, 10,291.46 and 4,434.89

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Solution

The fourth proportional to 7,458.70, 10,291.46 and 4,434.89 is: 6,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.70 : 10,291.46 = 4,434.89 : x
  2. Step 2: Convert to fraction form
    7,458.70/10,291.46 = 4,434.89/x
  3. Step 3: Cross multiply
    7,458.70x = 10,291.46 × 4,434.89
  4. Step 4: Simplify right side
    7,458.70x = 45,641,419.41
  5. Step 5: Solve for x
    x = 45,641,419.41/7,458.70
  6. Step 6: Final answer
    x = 6,119.22

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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.