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Finding the Fourth Proportional to 10,453.41, 14,444.40 and 7,775.43

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Solution

The fourth proportional to 10,453.41, 14,444.40 and 7,775.43 is: 10,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.41 : 14,444.40 = 7,775.43 : x
  2. Step 2: Convert to fraction form
    10,453.41/14,444.40 = 7,775.43/x
  3. Step 3: Cross multiply
    10,453.41x = 14,444.40 × 7,775.43
  4. Step 4: Simplify right side
    10,453.41x = 112,311,421.09
  5. Step 5: Solve for x
    x = 112,311,421.09/10,453.41
  6. Step 6: Final answer
    x = 10,744.00

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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.