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Finding the Fourth Proportional to 11,700.64, 16,145.44 and 6,984

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Solution

The fourth proportional to 11,700.64, 16,145.44 and 6,984 is: 9,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.64 : 16,145.44 = 6,984 : x
  2. Step 2: Convert to fraction form
    11,700.64/16,145.44 = 6,984/x
  3. Step 3: Cross multiply
    11,700.64x = 16,145.44 × 6,984
  4. Step 4: Simplify right side
    11,700.64x = 112,759,752.96
  5. Step 5: Solve for x
    x = 112,759,752.96/11,700.64
  6. Step 6: Final answer
    x = 9,637.06

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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.