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Finding the Fourth Proportional to 8,206.04, 11,316.66 and 6,532.98

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Solution

The fourth proportional to 8,206.04, 11,316.66 and 6,532.98 is: 9,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.04 : 11,316.66 = 6,532.98 : x
  2. Step 2: Convert to fraction form
    8,206.04/11,316.66 = 6,532.98/x
  3. Step 3: Cross multiply
    8,206.04x = 11,316.66 × 6,532.98
  4. Step 4: Simplify right side
    8,206.04x = 73,931,513.45
  5. Step 5: Solve for x
    x = 73,931,513.45/8,206.04
  6. Step 6: Final answer
    x = 9,009.41

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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.