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Finding the Fourth Proportional to 10,652.94, 14,700.76 and 6,676.25

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Solution

The fourth proportional to 10,652.94, 14,700.76 and 6,676.25 is: 9,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.94 : 14,700.76 = 6,676.25 : x
  2. Step 2: Convert to fraction form
    10,652.94/14,700.76 = 6,676.25/x
  3. Step 3: Cross multiply
    10,652.94x = 14,700.76 × 6,676.25
  4. Step 4: Simplify right side
    10,652.94x = 98,145,858.76
  5. Step 5: Solve for x
    x = 98,145,858.76/10,652.94
  6. Step 6: Final answer
    x = 9,213.03

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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.