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Finding the Fourth Proportional to 10,637.63, 14,679.93 and 5,922.83

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Solution

The fourth proportional to 10,637.63, 14,679.93 and 5,922.83 is: 8,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.63 : 14,679.93 = 5,922.83 : x
  2. Step 2: Convert to fraction form
    10,637.63/14,679.93 = 5,922.83/x
  3. Step 3: Cross multiply
    10,637.63x = 14,679.93 × 5,922.83
  4. Step 4: Simplify right side
    10,637.63x = 86,946,656.40
  5. Step 5: Solve for x
    x = 86,946,656.40/10,637.63
  6. Step 6: Final answer
    x = 8,173.50

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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.