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Finding the Fourth Proportional to 7,845.30, 11,698.73 and 6,756.66

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Solution

The fourth proportional to 7,845.30, 11,698.73 and 6,756.66 is: 10,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.30 : 11,698.73 = 6,756.66 : x
  2. Step 2: Convert to fraction form
    7,845.30/11,698.73 = 6,756.66/x
  3. Step 3: Cross multiply
    7,845.30x = 11,698.73 × 6,756.66
  4. Step 4: Simplify right side
    7,845.30x = 79,044,307.26
  5. Step 5: Solve for x
    x = 79,044,307.26/7,845.30
  6. Step 6: Final answer
    x = 10,075.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.