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Finding the Fourth Proportional to 7,784.02, 11,676.03 and 6,627.46

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Solution

The fourth proportional to 7,784.02, 11,676.03 and 6,627.46 is: 9,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.02 : 11,676.03 = 6,627.46 : x
  2. Step 2: Convert to fraction form
    7,784.02/11,676.03 = 6,627.46/x
  3. Step 3: Cross multiply
    7,784.02x = 11,676.03 × 6,627.46
  4. Step 4: Simplify right side
    7,784.02x = 77,382,421.78
  5. Step 5: Solve for x
    x = 77,382,421.78/7,784.02
  6. Step 6: Final answer
    x = 9,941.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.