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Finding the Fourth Proportional to 10,453.56, 14,417.04 and 7,438.80

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Solution

The fourth proportional to 10,453.56, 14,417.04 and 7,438.80 is: 10,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.56 : 14,417.04 = 7,438.80 : x
  2. Step 2: Convert to fraction form
    10,453.56/14,417.04 = 7,438.80/x
  3. Step 3: Cross multiply
    10,453.56x = 14,417.04 × 7,438.80
  4. Step 4: Simplify right side
    10,453.56x = 107,245,477.15
  5. Step 5: Solve for x
    x = 107,245,477.15/10,453.56
  6. Step 6: Final answer
    x = 10,259.23

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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.