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Finding the Fourth Proportional to 10,594.32, 14,611.89 and 7,406.56

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Solution

The fourth proportional to 10,594.32, 14,611.89 and 7,406.56 is: 10,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.32 : 14,611.89 = 7,406.56 : x
  2. Step 2: Convert to fraction form
    10,594.32/14,611.89 = 7,406.56/x
  3. Step 3: Cross multiply
    10,594.32x = 14,611.89 × 7,406.56
  4. Step 4: Simplify right side
    10,594.32x = 108,223,840.00
  5. Step 5: Solve for x
    x = 108,223,840.00/10,594.32
  6. Step 6: Final answer
    x = 10,215.27

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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.