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Finding the Fourth Proportional to 8,271.63, 11,416.48 and 4,737.20

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Solution

The fourth proportional to 8,271.63, 11,416.48 and 4,737.20 is: 6,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.63 : 11,416.48 = 4,737.20 : x
  2. Step 2: Convert to fraction form
    8,271.63/11,416.48 = 4,737.20/x
  3. Step 3: Cross multiply
    8,271.63x = 11,416.48 × 4,737.20
  4. Step 4: Simplify right side
    8,271.63x = 54,082,080.13
  5. Step 5: Solve for x
    x = 54,082,080.13/8,271.63
  6. Step 6: Final answer
    x = 6,538.26

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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.