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Finding the Fourth Proportional to 10,783.68, 14,886.09 and 7,425.42

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Solution

The fourth proportional to 10,783.68, 14,886.09 and 7,425.42 is: 10,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.68 : 14,886.09 = 7,425.42 : x
  2. Step 2: Convert to fraction form
    10,783.68/14,886.09 = 7,425.42/x
  3. Step 3: Cross multiply
    10,783.68x = 14,886.09 × 7,425.42
  4. Step 4: Simplify right side
    10,783.68x = 110,535,470.41
  5. Step 5: Solve for x
    x = 110,535,470.41/10,783.68
  6. Step 6: Final answer
    x = 10,250.26

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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.