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Finding the Fourth Proportional to 10,475.28, 14,455.98 and 6,440.94

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Solution

The fourth proportional to 10,475.28, 14,455.98 and 6,440.94 is: 8,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.28 : 14,455.98 = 6,440.94 : x
  2. Step 2: Convert to fraction form
    10,475.28/14,455.98 = 6,440.94/x
  3. Step 3: Cross multiply
    10,475.28x = 14,455.98 × 6,440.94
  4. Step 4: Simplify right side
    10,475.28x = 93,110,099.82
  5. Step 5: Solve for x
    x = 93,110,099.82/10,475.28
  6. Step 6: Final answer
    x = 8,888.55

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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.