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Finding the Fourth Proportional to 9,507.90, 13,124.50 and 8,511.36

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Solution

The fourth proportional to 9,507.90, 13,124.50 and 8,511.36 is: 11,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.90 : 13,124.50 = 8,511.36 : x
  2. Step 2: Convert to fraction form
    9,507.90/13,124.50 = 8,511.36/x
  3. Step 3: Cross multiply
    9,507.90x = 13,124.50 × 8,511.36
  4. Step 4: Simplify right side
    9,507.90x = 111,707,344.32
  5. Step 5: Solve for x
    x = 111,707,344.32/9,507.90
  6. Step 6: Final answer
    x = 11,748.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.