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Finding the Fourth Proportional to 7,299.76, 10,075.24 and 4,646.60

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Solution

The fourth proportional to 7,299.76, 10,075.24 and 4,646.60 is: 6,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.76 : 10,075.24 = 4,646.60 : x
  2. Step 2: Convert to fraction form
    7,299.76/10,075.24 = 4,646.60/x
  3. Step 3: Cross multiply
    7,299.76x = 10,075.24 × 4,646.60
  4. Step 4: Simplify right side
    7,299.76x = 46,815,610.18
  5. Step 5: Solve for x
    x = 46,815,610.18/7,299.76
  6. Step 6: Final answer
    x = 6,413.31

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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.