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Finding the Fourth Proportional to 7,434.70, 10,259.89 and 4,077.53

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Solution

The fourth proportional to 7,434.70, 10,259.89 and 4,077.53 is: 5,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.70 : 10,259.89 = 4,077.53 : x
  2. Step 2: Convert to fraction form
    7,434.70/10,259.89 = 4,077.53/x
  3. Step 3: Cross multiply
    7,434.70x = 10,259.89 × 4,077.53
  4. Step 4: Simplify right side
    7,434.70x = 41,835,009.27
  5. Step 5: Solve for x
    x = 41,835,009.27/7,434.70
  6. Step 6: Final answer
    x = 5,626.99

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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.