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Finding the Fourth Proportional to 8,762.56, 13,143.52 and 2,606.40

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Solution

The fourth proportional to 8,762.56, 13,143.52 and 2,606.40 is: 3,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.56 : 13,143.52 = 2,606.40 : x
  2. Step 2: Convert to fraction form
    8,762.56/13,143.52 = 2,606.40/x
  3. Step 3: Cross multiply
    8,762.56x = 13,143.52 × 2,606.40
  4. Step 4: Simplify right side
    8,762.56x = 34,257,270.53
  5. Step 5: Solve for x
    x = 34,257,270.53/8,762.56
  6. Step 6: Final answer
    x = 3,909.50

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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.