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Finding the Fourth Proportional to 8,585.16, 12,883.50 and 3,038.49

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Solution

The fourth proportional to 8,585.16, 12,883.50 and 3,038.49 is: 4,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.16 : 12,883.50 = 3,038.49 : x
  2. Step 2: Convert to fraction form
    8,585.16/12,883.50 = 3,038.49/x
  3. Step 3: Cross multiply
    8,585.16x = 12,883.50 × 3,038.49
  4. Step 4: Simplify right side
    8,585.16x = 39,146,385.92
  5. Step 5: Solve for x
    x = 39,146,385.92/8,585.16
  6. Step 6: Final answer
    x = 4,559.77

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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.