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Finding the Fourth Proportional to 7,509.58, 10,362.80 and 4,152.19

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Solution

The fourth proportional to 7,509.58, 10,362.80 and 4,152.19 is: 5,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.58 : 10,362.80 = 4,152.19 : x
  2. Step 2: Convert to fraction form
    7,509.58/10,362.80 = 4,152.19/x
  3. Step 3: Cross multiply
    7,509.58x = 10,362.80 × 4,152.19
  4. Step 4: Simplify right side
    7,509.58x = 43,028,365.08
  5. Step 5: Solve for x
    x = 43,028,365.08/7,509.58
  6. Step 6: Final answer
    x = 5,729.80

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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.