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Finding the Fourth Proportional to 8,602.83, 12,904.51 and 3,056.08

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Solution

The fourth proportional to 8,602.83, 12,904.51 and 3,056.08 is: 4,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.83 : 12,904.51 = 3,056.08 : x
  2. Step 2: Convert to fraction form
    8,602.83/12,904.51 = 3,056.08/x
  3. Step 3: Cross multiply
    8,602.83x = 12,904.51 × 3,056.08
  4. Step 4: Simplify right side
    8,602.83x = 39,437,214.92
  5. Step 5: Solve for x
    x = 39,437,214.92/8,602.83
  6. Step 6: Final answer
    x = 4,584.21

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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.