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Finding the Fourth Proportional to 10,053.99, 13,874.49 and 5,577.93

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Solution

The fourth proportional to 10,053.99, 13,874.49 and 5,577.93 is: 7,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.99 : 13,874.49 = 5,577.93 : x
  2. Step 2: Convert to fraction form
    10,053.99/13,874.49 = 5,577.93/x
  3. Step 3: Cross multiply
    10,053.99x = 13,874.49 × 5,577.93
  4. Step 4: Simplify right side
    10,053.99x = 77,390,934.01
  5. Step 5: Solve for x
    x = 77,390,934.01/10,053.99
  6. Step 6: Final answer
    x = 7,697.53

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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.