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Finding the Fourth Proportional to 10,014.01, 13,821.02 and 6,782.40

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Solution

The fourth proportional to 10,014.01, 13,821.02 and 6,782.40 is: 9,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.01 : 13,821.02 = 6,782.40 : x
  2. Step 2: Convert to fraction form
    10,014.01/13,821.02 = 6,782.40/x
  3. Step 3: Cross multiply
    10,014.01x = 13,821.02 × 6,782.40
  4. Step 4: Simplify right side
    10,014.01x = 93,739,686.05
  5. Step 5: Solve for x
    x = 93,739,686.05/10,014.01
  6. Step 6: Final answer
    x = 9,360.85

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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.