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Finding the Fourth Proportional to 10,507.57, 14,506.37 and 6,975.61

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Solution

The fourth proportional to 10,507.57, 14,506.37 and 6,975.61 is: 9,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.57 : 14,506.37 = 6,975.61 : x
  2. Step 2: Convert to fraction form
    10,507.57/14,506.37 = 6,975.61/x
  3. Step 3: Cross multiply
    10,507.57x = 14,506.37 × 6,975.61
  4. Step 4: Simplify right side
    10,507.57x = 101,190,779.64
  5. Step 5: Solve for x
    x = 101,190,779.64/10,507.57
  6. Step 6: Final answer
    x = 9,630.27

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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.