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Finding the Fourth Proportional to 7,683.36, 10,594.08 and 5,377.92

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Solution

The fourth proportional to 7,683.36, 10,594.08 and 5,377.92 is: 7,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.36 : 10,594.08 = 5,377.92 : x
  2. Step 2: Convert to fraction form
    7,683.36/10,594.08 = 5,377.92/x
  3. Step 3: Cross multiply
    7,683.36x = 10,594.08 × 5,377.92
  4. Step 4: Simplify right side
    7,683.36x = 56,974,114.71
  5. Step 5: Solve for x
    x = 56,974,114.71/7,683.36
  6. Step 6: Final answer
    x = 7,415.26

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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.