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Finding the Fourth Proportional to 7,298.96, 10,070.74 and 4,111.64

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Solution

The fourth proportional to 7,298.96, 10,070.74 and 4,111.64 is: 5,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.96 : 10,070.74 = 4,111.64 : x
  2. Step 2: Convert to fraction form
    7,298.96/10,070.74 = 4,111.64/x
  3. Step 3: Cross multiply
    7,298.96x = 10,070.74 × 4,111.64
  4. Step 4: Simplify right side
    7,298.96x = 41,407,257.41
  5. Step 5: Solve for x
    x = 41,407,257.41/7,298.96
  6. Step 6: Final answer
    x = 5,673.04

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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.