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Finding the Fourth Proportional to 10,712, 14,766.36 and 9,211.88

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Solution

The fourth proportional to 10,712, 14,766.36 and 9,211.88 is: 12,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712 : 14,766.36 = 9,211.88 : x
  2. Step 2: Convert to fraction form
    10,712/14,766.36 = 9,211.88/x
  3. Step 3: Cross multiply
    10,712x = 14,766.36 × 9,211.88
  4. Step 4: Simplify right side
    10,712x = 136,025,936.36
  5. Step 5: Solve for x
    x = 136,025,936.36/10,712
  6. Step 6: Final answer
    x = 12,698.46

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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.