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Finding the Fourth Proportional to 8,199.40, 11,300.16 and 5,957.35

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Solution

The fourth proportional to 8,199.40, 11,300.16 and 5,957.35 is: 8,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.40 : 11,300.16 = 5,957.35 : x
  2. Step 2: Convert to fraction form
    8,199.40/11,300.16 = 5,957.35/x
  3. Step 3: Cross multiply
    8,199.40x = 11,300.16 × 5,957.35
  4. Step 4: Simplify right side
    8,199.40x = 67,319,008.18
  5. Step 5: Solve for x
    x = 67,319,008.18/8,199.40
  6. Step 6: Final answer
    x = 8,210.24

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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.