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Finding the Fourth Proportional to 10,573.31, 14,574.16 and 7,169.21

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Solution

The fourth proportional to 10,573.31, 14,574.16 and 7,169.21 is: 9,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.31 : 14,574.16 = 7,169.21 : x
  2. Step 2: Convert to fraction form
    10,573.31/14,574.16 = 7,169.21/x
  3. Step 3: Cross multiply
    10,573.31x = 14,574.16 × 7,169.21
  4. Step 4: Simplify right side
    10,573.31x = 104,485,232.13
  5. Step 5: Solve for x
    x = 104,485,232.13/10,573.31
  6. Step 6: Final answer
    x = 9,881.98

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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.