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Finding the Fourth Proportional to 10,620.72, 14,656.32 and 6,141.60

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Solution

The fourth proportional to 10,620.72, 14,656.32 and 6,141.60 is: 8,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.72 : 14,656.32 = 6,141.60 : x
  2. Step 2: Convert to fraction form
    10,620.72/14,656.32 = 6,141.60/x
  3. Step 3: Cross multiply
    10,620.72x = 14,656.32 × 6,141.60
  4. Step 4: Simplify right side
    10,620.72x = 90,013,254.91
  5. Step 5: Solve for x
    x = 90,013,254.91/10,620.72
  6. Step 6: Final answer
    x = 8,475.25

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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.