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Finding the Fourth Proportional to 10,653.06, 14,701.01 and 5,807.82

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Solution

The fourth proportional to 10,653.06, 14,701.01 and 5,807.82 is: 8,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.06 : 14,701.01 = 5,807.82 : x
  2. Step 2: Convert to fraction form
    10,653.06/14,701.01 = 5,807.82/x
  3. Step 3: Cross multiply
    10,653.06x = 14,701.01 × 5,807.82
  4. Step 4: Simplify right side
    10,653.06x = 85,380,790.86
  5. Step 5: Solve for x
    x = 85,380,790.86/10,653.06
  6. Step 6: Final answer
    x = 8,014.67

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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.