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Finding the Fourth Proportional to 10,471.47, 14,437.16 and 8,576.07

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Solution

The fourth proportional to 10,471.47, 14,437.16 and 8,576.07 is: 11,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.47 : 14,437.16 = 8,576.07 : x
  2. Step 2: Convert to fraction form
    10,471.47/14,437.16 = 8,576.07/x
  3. Step 3: Cross multiply
    10,471.47x = 14,437.16 × 8,576.07
  4. Step 4: Simplify right side
    10,471.47x = 123,814,051.88
  5. Step 5: Solve for x
    x = 123,814,051.88/10,471.47
  6. Step 6: Final answer
    x = 11,823.94

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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.