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Finding the Fourth Proportional to 6,262.76, 8,637.36 and 6,185

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Solution

The fourth proportional to 6,262.76, 8,637.36 and 6,185 is: 8,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.76 : 8,637.36 = 6,185 : x
  2. Step 2: Convert to fraction form
    6,262.76/8,637.36 = 6,185/x
  3. Step 3: Cross multiply
    6,262.76x = 8,637.36 × 6,185
  4. Step 4: Simplify right side
    6,262.76x = 53,422,071.60
  5. Step 5: Solve for x
    x = 53,422,071.60/6,262.76
  6. Step 6: Final answer
    x = 8,530.12

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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.