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Finding the Fourth Proportional to 10,714.80, 16,069.73 and 4,052.01

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Solution

The fourth proportional to 10,714.80, 16,069.73 and 4,052.01 is: 6,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.80 : 16,069.73 = 4,052.01 : x
  2. Step 2: Convert to fraction form
    10,714.80/16,069.73 = 4,052.01/x
  3. Step 3: Cross multiply
    10,714.80x = 16,069.73 × 4,052.01
  4. Step 4: Simplify right side
    10,714.80x = 65,114,686.40
  5. Step 5: Solve for x
    x = 65,114,686.40/10,714.80
  6. Step 6: Final answer
    x = 6,077.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.