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Finding the Fourth Proportional to 10,507.44, 14,506.20 and 6,975.48

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Solution

The fourth proportional to 10,507.44, 14,506.20 and 6,975.48 is: 9,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.44 : 14,506.20 = 6,975.48 : x
  2. Step 2: Convert to fraction form
    10,507.44/14,506.20 = 6,975.48/x
  3. Step 3: Cross multiply
    10,507.44x = 14,506.20 × 6,975.48
  4. Step 4: Simplify right side
    10,507.44x = 101,187,707.98
  5. Step 5: Solve for x
    x = 101,187,707.98/10,507.44
  6. Step 6: Final answer
    x = 9,630.10

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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.