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Finding the Fourth Proportional to 10,475.72, 14,443.02 and 8,580.32

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Solution

The fourth proportional to 10,475.72, 14,443.02 and 8,580.32 is: 11,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.72 : 14,443.02 = 8,580.32 : x
  2. Step 2: Convert to fraction form
    10,475.72/14,443.02 = 8,580.32/x
  3. Step 3: Cross multiply
    10,475.72x = 14,443.02 × 8,580.32
  4. Step 4: Simplify right side
    10,475.72x = 123,925,733.37
  5. Step 5: Solve for x
    x = 123,925,733.37/10,475.72
  6. Step 6: Final answer
    x = 11,829.81

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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.