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Finding the Fourth Proportional to 10,041.12, 13,852.08 and 6,261.84

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Solution

The fourth proportional to 10,041.12, 13,852.08 and 6,261.84 is: 8,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.12 : 13,852.08 = 6,261.84 : x
  2. Step 2: Convert to fraction form
    10,041.12/13,852.08 = 6,261.84/x
  3. Step 3: Cross multiply
    10,041.12x = 13,852.08 × 6,261.84
  4. Step 4: Simplify right side
    10,041.12x = 86,739,508.63
  5. Step 5: Solve for x
    x = 86,739,508.63/10,041.12
  6. Step 6: Final answer
    x = 8,638.43

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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.