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Finding the Fourth Proportional to 7,005.74, 10,510.77 and 3,307.82

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Solution

The fourth proportional to 7,005.74, 10,510.77 and 3,307.82 is: 4,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.74 : 10,510.77 = 3,307.82 : x
  2. Step 2: Convert to fraction form
    7,005.74/10,510.77 = 3,307.82/x
  3. Step 3: Cross multiply
    7,005.74x = 10,510.77 × 3,307.82
  4. Step 4: Simplify right side
    7,005.74x = 34,767,735.22
  5. Step 5: Solve for x
    x = 34,767,735.22/7,005.74
  6. Step 6: Final answer
    x = 4,962.75

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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.