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Finding the Fourth Proportional to 10,574.31, 14,575.54 and 7,170.21

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Solution

The fourth proportional to 10,574.31, 14,575.54 and 7,170.21 is: 9,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.31 : 14,575.54 = 7,170.21 : x
  2. Step 2: Convert to fraction form
    10,574.31/14,575.54 = 7,170.21/x
  3. Step 3: Cross multiply
    10,574.31x = 14,575.54 × 7,170.21
  4. Step 4: Simplify right side
    10,574.31x = 104,509,682.66
  5. Step 5: Solve for x
    x = 104,509,682.66/10,574.31
  6. Step 6: Final answer
    x = 9,883.36

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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.