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Finding the Fourth Proportional to 10,405.76, 14,376.12 and 8,724.56

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Solution

The fourth proportional to 10,405.76, 14,376.12 and 8,724.56 is: 12,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.76 : 14,376.12 = 8,724.56 : x
  2. Step 2: Convert to fraction form
    10,405.76/14,376.12 = 8,724.56/x
  3. Step 3: Cross multiply
    10,405.76x = 14,376.12 × 8,724.56
  4. Step 4: Simplify right side
    10,405.76x = 125,425,321.51
  5. Step 5: Solve for x
    x = 125,425,321.51/10,405.76
  6. Step 6: Final answer
    x = 12,053.45

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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.