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Finding the Fourth Proportional to 10,124.65, 13,964.47 and 7,435.02

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Solution

The fourth proportional to 10,124.65, 13,964.47 and 7,435.02 is: 10,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.65 : 13,964.47 = 7,435.02 : x
  2. Step 2: Convert to fraction form
    10,124.65/13,964.47 = 7,435.02/x
  3. Step 3: Cross multiply
    10,124.65x = 13,964.47 × 7,435.02
  4. Step 4: Simplify right side
    10,124.65x = 103,826,076.56
  5. Step 5: Solve for x
    x = 103,826,076.56/10,124.65
  6. Step 6: Final answer
    x = 10,254.79

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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.