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Finding the Fourth Proportional to 10,447.80, 14,409.90 and 7,133.88

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Solution

The fourth proportional to 10,447.80, 14,409.90 and 7,133.88 is: 9,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.80 : 14,409.90 = 7,133.88 : x
  2. Step 2: Convert to fraction form
    10,447.80/14,409.90 = 7,133.88/x
  3. Step 3: Cross multiply
    10,447.80x = 14,409.90 × 7,133.88
  4. Step 4: Simplify right side
    10,447.80x = 102,798,497.41
  5. Step 5: Solve for x
    x = 102,798,497.41/10,447.80
  6. Step 6: Final answer
    x = 9,839.25

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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.