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Finding the Fourth Proportional to 10,053.70, 13,874.19 and 5,577.74

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Solution

The fourth proportional to 10,053.70, 13,874.19 and 5,577.74 is: 7,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.70 : 13,874.19 = 5,577.74 : x
  2. Step 2: Convert to fraction form
    10,053.70/13,874.19 = 5,577.74/x
  3. Step 3: Cross multiply
    10,053.70x = 13,874.19 × 5,577.74
  4. Step 4: Simplify right side
    10,053.70x = 77,386,596.64
  5. Step 5: Solve for x
    x = 77,386,596.64/10,053.70
  6. Step 6: Final answer
    x = 7,697.33

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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.