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Finding the Fourth Proportional to 10,053.24, 13,873.14 and 5,577

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Solution

The fourth proportional to 10,053.24, 13,873.14 and 5,577 is: 7,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.24 : 13,873.14 = 5,577 : x
  2. Step 2: Convert to fraction form
    10,053.24/13,873.14 = 5,577/x
  3. Step 3: Cross multiply
    10,053.24x = 13,873.14 × 5,577
  4. Step 4: Simplify right side
    10,053.24x = 77,370,501.78
  5. Step 5: Solve for x
    x = 77,370,501.78/10,053.24
  6. Step 6: Final answer
    x = 7,696.08

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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.