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Finding the Fourth Proportional to 7,577.33, 10,457.19 and 5,057.84

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Solution

The fourth proportional to 7,577.33, 10,457.19 and 5,057.84 is: 6,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.33 : 10,457.19 = 5,057.84 : x
  2. Step 2: Convert to fraction form
    7,577.33/10,457.19 = 5,057.84/x
  3. Step 3: Cross multiply
    7,577.33x = 10,457.19 × 5,057.84
  4. Step 4: Simplify right side
    7,577.33x = 52,890,741.58
  5. Step 5: Solve for x
    x = 52,890,741.58/7,577.33
  6. Step 6: Final answer
    x = 6,980.13

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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.