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Finding the Fourth Proportional to 7,225.53, 10,838.80 and 3,065.06

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Solution

The fourth proportional to 7,225.53, 10,838.80 and 3,065.06 is: 4,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.53 : 10,838.80 = 3,065.06 : x
  2. Step 2: Convert to fraction form
    7,225.53/10,838.80 = 3,065.06/x
  3. Step 3: Cross multiply
    7,225.53x = 10,838.80 × 3,065.06
  4. Step 4: Simplify right side
    7,225.53x = 33,221,617.83
  5. Step 5: Solve for x
    x = 33,221,617.83/7,225.53
  6. Step 6: Final answer
    x = 4,597.81

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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.