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Finding the Fourth Proportional to 8,205.54, 11,303.88 and 6,526.44

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Solution

The fourth proportional to 8,205.54, 11,303.88 and 6,526.44 is: 8,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.54 : 11,303.88 = 6,526.44 : x
  2. Step 2: Convert to fraction form
    8,205.54/11,303.88 = 6,526.44/x
  3. Step 3: Cross multiply
    8,205.54x = 11,303.88 × 6,526.44
  4. Step 4: Simplify right side
    8,205.54x = 73,774,094.59
  5. Step 5: Solve for x
    x = 73,774,094.59/8,205.54
  6. Step 6: Final answer
    x = 8,990.77

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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.