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Finding the Fourth Proportional to 7,434.92, 10,259.90 and 4,077.65

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Solution

The fourth proportional to 7,434.92, 10,259.90 and 4,077.65 is: 5,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.92 : 10,259.90 = 4,077.65 : x
  2. Step 2: Convert to fraction form
    7,434.92/10,259.90 = 4,077.65/x
  3. Step 3: Cross multiply
    7,434.92x = 10,259.90 × 4,077.65
  4. Step 4: Simplify right side
    7,434.92x = 41,836,281.24
  5. Step 5: Solve for x
    x = 41,836,281.24/7,434.92
  6. Step 6: Final answer
    x = 5,627.00

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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.