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Finding the Fourth Proportional to 10,847.80, 16,271.70 and 6,714.10

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Solution

The fourth proportional to 10,847.80, 16,271.70 and 6,714.10 is: 10,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.80 : 16,271.70 = 6,714.10 : x
  2. Step 2: Convert to fraction form
    10,847.80/16,271.70 = 6,714.10/x
  3. Step 3: Cross multiply
    10,847.80x = 16,271.70 × 6,714.10
  4. Step 4: Simplify right side
    10,847.80x = 109,249,820.97
  5. Step 5: Solve for x
    x = 109,249,820.97/10,847.80
  6. Step 6: Final answer
    x = 10,071.15

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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.