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Finding the Fourth Proportional to 8,596.92, 12,895.92 and 7,038.48

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Solution

The fourth proportional to 8,596.92, 12,895.92 and 7,038.48 is: 10,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.92 : 12,895.92 = 7,038.48 : x
  2. Step 2: Convert to fraction form
    8,596.92/12,895.92 = 7,038.48/x
  3. Step 3: Cross multiply
    8,596.92x = 12,895.92 × 7,038.48
  4. Step 4: Simplify right side
    8,596.92x = 90,767,675.00
  5. Step 5: Solve for x
    x = 90,767,675.00/8,596.92
  6. Step 6: Final answer
    x = 10,558.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.