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Finding the Fourth Proportional to 7,509.21, 10,362.95 and 4,152.13

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Solution

The fourth proportional to 7,509.21, 10,362.95 and 4,152.13 is: 5,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.21 : 10,362.95 = 4,152.13 : x
  2. Step 2: Convert to fraction form
    7,509.21/10,362.95 = 4,152.13/x
  3. Step 3: Cross multiply
    7,509.21x = 10,362.95 × 4,152.13
  4. Step 4: Simplify right side
    7,509.21x = 43,028,315.58
  5. Step 5: Solve for x
    x = 43,028,315.58/7,509.21
  6. Step 6: Final answer
    x = 5,730.07

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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.