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Finding the Fourth Proportional to 10,376.64, 14,319.86 and 5,660.96

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Solution

The fourth proportional to 10,376.64, 14,319.86 and 5,660.96 is: 7,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.64 : 14,319.86 = 5,660.96 : x
  2. Step 2: Convert to fraction form
    10,376.64/14,319.86 = 5,660.96/x
  3. Step 3: Cross multiply
    10,376.64x = 14,319.86 × 5,660.96
  4. Step 4: Simplify right side
    10,376.64x = 81,064,054.76
  5. Step 5: Solve for x
    x = 81,064,054.76/10,376.64
  6. Step 6: Final answer
    x = 7,812.17

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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.