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Finding the Fourth Proportional to 10,303.65, 15,450.30 and 5,039.06

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Solution

The fourth proportional to 10,303.65, 15,450.30 and 5,039.06 is: 7,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.65 : 15,450.30 = 5,039.06 : x
  2. Step 2: Convert to fraction form
    10,303.65/15,450.30 = 5,039.06/x
  3. Step 3: Cross multiply
    10,303.65x = 15,450.30 × 5,039.06
  4. Step 4: Simplify right side
    10,303.65x = 77,854,911.47
  5. Step 5: Solve for x
    x = 77,854,911.47/10,303.65
  6. Step 6: Final answer
    x = 7,556.05

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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.