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Finding the Fourth Proportional to 6,688.40, 10,036.44 and 5,223.44

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Solution

The fourth proportional to 6,688.40, 10,036.44 and 5,223.44 is: 7,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.40 : 10,036.44 = 5,223.44 : x
  2. Step 2: Convert to fraction form
    6,688.40/10,036.44 = 5,223.44/x
  3. Step 3: Cross multiply
    6,688.40x = 10,036.44 × 5,223.44
  4. Step 4: Simplify right side
    6,688.40x = 52,424,742.15
  5. Step 5: Solve for x
    x = 52,424,742.15/6,688.40
  6. Step 6: Final answer
    x = 7,838.16

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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.