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Finding the Fourth Proportional to 10,490.56, 14,476.80 and 6,956.24

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Solution

The fourth proportional to 10,490.56, 14,476.80 and 6,956.24 is: 9,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.56 : 14,476.80 = 6,956.24 : x
  2. Step 2: Convert to fraction form
    10,490.56/14,476.80 = 6,956.24/x
  3. Step 3: Cross multiply
    10,490.56x = 14,476.80 × 6,956.24
  4. Step 4: Simplify right side
    10,490.56x = 100,704,095.23
  5. Step 5: Solve for x
    x = 100,704,095.23/10,490.56
  6. Step 6: Final answer
    x = 9,599.50

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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.