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Finding the Fourth Proportional to 7,006.25, 10,509.35 and 2,389.25

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Solution

The fourth proportional to 7,006.25, 10,509.35 and 2,389.25 is: 3,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.25 : 10,509.35 = 2,389.25 : x
  2. Step 2: Convert to fraction form
    7,006.25/10,509.35 = 2,389.25/x
  3. Step 3: Cross multiply
    7,006.25x = 10,509.35 × 2,389.25
  4. Step 4: Simplify right side
    7,006.25x = 25,109,478.81
  5. Step 5: Solve for x
    x = 25,109,478.81/7,006.25
  6. Step 6: Final answer
    x = 3,583.87

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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.