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Finding the Fourth Proportional to 8,064.63, 12,068.06 and 5,846.04

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Solution

The fourth proportional to 8,064.63, 12,068.06 and 5,846.04 is: 8,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.63 : 12,068.06 = 5,846.04 : x
  2. Step 2: Convert to fraction form
    8,064.63/12,068.06 = 5,846.04/x
  3. Step 3: Cross multiply
    8,064.63x = 12,068.06 × 5,846.04
  4. Step 4: Simplify right side
    8,064.63x = 70,550,332.25
  5. Step 5: Solve for x
    x = 70,550,332.25/8,064.63
  6. Step 6: Final answer
    x = 8,748.12

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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.