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Finding the Fourth Proportional to 8,444.56, 11,657.94 and 5,258.83

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Solution

The fourth proportional to 8,444.56, 11,657.94 and 5,258.83 is: 7,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.56 : 11,657.94 = 5,258.83 : x
  2. Step 2: Convert to fraction form
    8,444.56/11,657.94 = 5,258.83/x
  3. Step 3: Cross multiply
    8,444.56x = 11,657.94 × 5,258.83
  4. Step 4: Simplify right side
    8,444.56x = 61,307,124.61
  5. Step 5: Solve for x
    x = 61,307,124.61/8,444.56
  6. Step 6: Final answer
    x = 7,259.95

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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.