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Finding the Fourth Proportional to 7,752.60, 11,628.90 and 7,266.60

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Solution

The fourth proportional to 7,752.60, 11,628.90 and 7,266.60 is: 10,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.60 : 11,628.90 = 7,266.60 : x
  2. Step 2: Convert to fraction form
    7,752.60/11,628.90 = 7,266.60/x
  3. Step 3: Cross multiply
    7,752.60x = 11,628.90 × 7,266.60
  4. Step 4: Simplify right side
    7,752.60x = 84,502,564.74
  5. Step 5: Solve for x
    x = 84,502,564.74/7,752.60
  6. Step 6: Final answer
    x = 10,899.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.