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Finding the Fourth Proportional to 10,664.82, 14,721.24 and 7,031.16

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Solution

The fourth proportional to 10,664.82, 14,721.24 and 7,031.16 is: 9,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.82 : 14,721.24 = 7,031.16 : x
  2. Step 2: Convert to fraction form
    10,664.82/14,721.24 = 7,031.16/x
  3. Step 3: Cross multiply
    10,664.82x = 14,721.24 × 7,031.16
  4. Step 4: Simplify right side
    10,664.82x = 103,507,393.84
  5. Step 5: Solve for x
    x = 103,507,393.84/10,664.82
  6. Step 6: Final answer
    x = 9,705.50

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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.