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Finding the Fourth Proportional to 8,296.41, 11,444.58 and 5,460.83

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Solution

The fourth proportional to 8,296.41, 11,444.58 and 5,460.83 is: 7,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.41 : 11,444.58 = 5,460.83 : x
  2. Step 2: Convert to fraction form
    8,296.41/11,444.58 = 5,460.83/x
  3. Step 3: Cross multiply
    8,296.41x = 11,444.58 × 5,460.83
  4. Step 4: Simplify right side
    8,296.41x = 62,496,848.58
  5. Step 5: Solve for x
    x = 62,496,848.58/8,296.41
  6. Step 6: Final answer
    x = 7,533.00

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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.