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Finding the Fourth Proportional to 8,345.63, 12,508.71 and 4,646.09

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Solution

The fourth proportional to 8,345.63, 12,508.71 and 4,646.09 is: 6,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.63 : 12,508.71 = 4,646.09 : x
  2. Step 2: Convert to fraction form
    8,345.63/12,508.71 = 4,646.09/x
  3. Step 3: Cross multiply
    8,345.63x = 12,508.71 × 4,646.09
  4. Step 4: Simplify right side
    8,345.63x = 58,116,529.90
  5. Step 5: Solve for x
    x = 58,116,529.90/8,345.63
  6. Step 6: Final answer
    x = 6,963.71

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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.