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Finding the Fourth Proportional to 8,295.09, 11,458.18 and 6,146.00

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Solution

The fourth proportional to 8,295.09, 11,458.18 and 6,146.00 is: 8,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.09 : 11,458.18 = 6,146.00 : x
  2. Step 2: Convert to fraction form
    8,295.09/11,458.18 = 6,146.00/x
  3. Step 3: Cross multiply
    8,295.09x = 11,458.18 × 6,146.00
  4. Step 4: Simplify right side
    8,295.09x = 70,421,978.26
  5. Step 5: Solve for x
    x = 70,421,978.26/8,295.09
  6. Step 6: Final answer
    x = 8,489.60

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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.