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Finding the Fourth Proportional to 10,670.90, 14,726.21 and 5,956.06

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Solution

The fourth proportional to 10,670.90, 14,726.21 and 5,956.06 is: 8,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.90 : 14,726.21 = 5,956.06 : x
  2. Step 2: Convert to fraction form
    10,670.90/14,726.21 = 5,956.06/x
  3. Step 3: Cross multiply
    10,670.90x = 14,726.21 × 5,956.06
  4. Step 4: Simplify right side
    10,670.90x = 87,710,190.33
  5. Step 5: Solve for x
    x = 87,710,190.33/10,670.90
  6. Step 6: Final answer
    x = 8,219.57

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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.