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Finding the Fourth Proportional to 7,742.19, 10,683.90 and 4,205.31

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Solution

The fourth proportional to 7,742.19, 10,683.90 and 4,205.31 is: 5,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.19 : 10,683.90 = 4,205.31 : x
  2. Step 2: Convert to fraction form
    7,742.19/10,683.90 = 4,205.31/x
  3. Step 3: Cross multiply
    7,742.19x = 10,683.90 × 4,205.31
  4. Step 4: Simplify right side
    7,742.19x = 44,929,111.51
  5. Step 5: Solve for x
    x = 44,929,111.51/7,742.19
  6. Step 6: Final answer
    x = 5,803.15

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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.