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Finding the Fourth Proportional to 10,601.70, 14,630.32 and 5,886.01

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Solution

The fourth proportional to 10,601.70, 14,630.32 and 5,886.01 is: 8,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.70 : 14,630.32 = 5,886.01 : x
  2. Step 2: Convert to fraction form
    10,601.70/14,630.32 = 5,886.01/x
  3. Step 3: Cross multiply
    10,601.70x = 14,630.32 × 5,886.01
  4. Step 4: Simplify right side
    10,601.70x = 86,114,209.82
  5. Step 5: Solve for x
    x = 86,114,209.82/10,601.70
  6. Step 6: Final answer
    x = 8,122.68

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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.