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Finding the Fourth Proportional to 6,184.61, 8,536.02 and 5,686.46

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Solution

The fourth proportional to 6,184.61, 8,536.02 and 5,686.46 is: 7,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.61 : 8,536.02 = 5,686.46 : x
  2. Step 2: Convert to fraction form
    6,184.61/8,536.02 = 5,686.46/x
  3. Step 3: Cross multiply
    6,184.61x = 8,536.02 × 5,686.46
  4. Step 4: Simplify right side
    6,184.61x = 48,539,736.29
  5. Step 5: Solve for x
    x = 48,539,736.29/6,184.61
  6. Step 6: Final answer
    x = 7,848.47

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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.