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Finding the Fourth Proportional to 10,670.40, 14,726.72 and 5,956.16

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Solution

The fourth proportional to 10,670.40, 14,726.72 and 5,956.16 is: 8,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.40 : 14,726.72 = 5,956.16 : x
  2. Step 2: Convert to fraction form
    10,670.40/14,726.72 = 5,956.16/x
  3. Step 3: Cross multiply
    10,670.40x = 14,726.72 × 5,956.16
  4. Step 4: Simplify right side
    10,670.40x = 87,714,700.60
  5. Step 5: Solve for x
    x = 87,714,700.60/10,670.40
  6. Step 6: Final answer
    x = 8,220.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.