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Finding the Fourth Proportional to 10,576.40, 14,602.56 and 9,453.74

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Solution

The fourth proportional to 10,576.40, 14,602.56 and 9,453.74 is: 13,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.40 : 14,602.56 = 9,453.74 : x
  2. Step 2: Convert to fraction form
    10,576.40/14,602.56 = 9,453.74/x
  3. Step 3: Cross multiply
    10,576.40x = 14,602.56 × 9,453.74
  4. Step 4: Simplify right side
    10,576.40x = 138,048,805.57
  5. Step 5: Solve for x
    x = 138,048,805.57/10,576.40
  6. Step 6: Final answer
    x = 13,052.53

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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.