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Finding the Fourth Proportional to 10,390.71, 15,577.16 and 3,813.51

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Solution

The fourth proportional to 10,390.71, 15,577.16 and 3,813.51 is: 5,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.71 : 15,577.16 = 3,813.51 : x
  2. Step 2: Convert to fraction form
    10,390.71/15,577.16 = 3,813.51/x
  3. Step 3: Cross multiply
    10,390.71x = 15,577.16 × 3,813.51
  4. Step 4: Simplify right side
    10,390.71x = 59,403,636.36
  5. Step 5: Solve for x
    x = 59,403,636.36/10,390.71
  6. Step 6: Final answer
    x = 5,716.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.