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Finding the Fourth Proportional to 8,266.80, 11,547.60 and 8,266.80

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Solution

The fourth proportional to 8,266.80, 11,547.60 and 8,266.80 is: 11,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.80 : 11,547.60 = 8,266.80 : x
  2. Step 2: Convert to fraction form
    8,266.80/11,547.60 = 8,266.80/x
  3. Step 3: Cross multiply
    8,266.80x = 11,547.60 × 8,266.80
  4. Step 4: Simplify right side
    8,266.80x = 95,461,699.68
  5. Step 5: Solve for x
    x = 95,461,699.68/8,266.80
  6. Step 6: Final answer
    x = 11,547.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.