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Finding the Fourth Proportional to 11,308.46, 15,607.54 and 6,274.30

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Solution

The fourth proportional to 11,308.46, 15,607.54 and 6,274.30 is: 8,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.46 : 15,607.54 = 6,274.30 : x
  2. Step 2: Convert to fraction form
    11,308.46/15,607.54 = 6,274.30/x
  3. Step 3: Cross multiply
    11,308.46x = 15,607.54 × 6,274.30
  4. Step 4: Simplify right side
    11,308.46x = 97,926,278.81
  5. Step 5: Solve for x
    x = 97,926,278.81/11,308.46
  6. Step 6: Final answer
    x = 8,659.56

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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.