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Finding the Fourth Proportional to 8,730.64, 13,088.22 and 3,182.86

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Solution

The fourth proportional to 8,730.64, 13,088.22 and 3,182.86 is: 4,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.64 : 13,088.22 = 3,182.86 : x
  2. Step 2: Convert to fraction form
    8,730.64/13,088.22 = 3,182.86/x
  3. Step 3: Cross multiply
    8,730.64x = 13,088.22 × 3,182.86
  4. Step 4: Simplify right side
    8,730.64x = 41,657,971.91
  5. Step 5: Solve for x
    x = 41,657,971.91/8,730.64
  6. Step 6: Final answer
    x = 4,771.47

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