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Finding the Fourth Proportional to 7,509.21, 10,363.10 and 4,322.98

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Solution

The fourth proportional to 7,509.21, 10,363.10 and 4,322.98 is: 5,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.21 : 10,363.10 = 4,322.98 : x
  2. Step 2: Convert to fraction form
    7,509.21/10,363.10 = 4,322.98/x
  3. Step 3: Cross multiply
    7,509.21x = 10,363.10 × 4,322.98
  4. Step 4: Simplify right side
    7,509.21x = 44,799,474.04
  5. Step 5: Solve for x
    x = 44,799,474.04/7,509.21
  6. Step 6: Final answer
    x = 5,965.94

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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.