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Finding the Fourth Proportional to 10,051.12, 13,865.88 and 6,271.84

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Solution

The fourth proportional to 10,051.12, 13,865.88 and 6,271.84 is: 8,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.12 : 13,865.88 = 6,271.84 : x
  2. Step 2: Convert to fraction form
    10,051.12/13,865.88 = 6,271.84/x
  3. Step 3: Cross multiply
    10,051.12x = 13,865.88 × 6,271.84
  4. Step 4: Simplify right side
    10,051.12x = 86,964,580.82
  5. Step 5: Solve for x
    x = 86,964,580.82/10,051.12
  6. Step 6: Final answer
    x = 8,652.23

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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.