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Finding the Fourth Proportional to 12,742.64, 17,585.43 and 7,077.41

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Solution

The fourth proportional to 12,742.64, 17,585.43 and 7,077.41 is: 9,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.64 : 17,585.43 = 7,077.41 : x
  2. Step 2: Convert to fraction form
    12,742.64/17,585.43 = 7,077.41/x
  3. Step 3: Cross multiply
    12,742.64x = 17,585.43 × 7,077.41
  4. Step 4: Simplify right side
    12,742.64x = 124,459,298.14
  5. Step 5: Solve for x
    x = 124,459,298.14/12,742.64
  6. Step 6: Final answer
    x = 9,767.15

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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.