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Finding the Fourth Proportional to 12,012.83, 16,577.64 and 6,707.64

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Solution

The fourth proportional to 12,012.83, 16,577.64 and 6,707.64 is: 9,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.83 : 16,577.64 = 6,707.64 : x
  2. Step 2: Convert to fraction form
    12,012.83/16,577.64 = 6,707.64/x
  3. Step 3: Cross multiply
    12,012.83x = 16,577.64 × 6,707.64
  4. Step 4: Simplify right side
    12,012.83x = 111,196,807.63
  5. Step 5: Solve for x
    x = 111,196,807.63/12,012.83
  6. Step 6: Final answer
    x = 9,256.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.