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Finding the Fourth Proportional to 10,899.97, 15,041.51 and 6,184.51

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Solution

The fourth proportional to 10,899.97, 15,041.51 and 6,184.51 is: 8,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.97 : 15,041.51 = 6,184.51 : x
  2. Step 2: Convert to fraction form
    10,899.97/15,041.51 = 6,184.51/x
  3. Step 3: Cross multiply
    10,899.97x = 15,041.51 × 6,184.51
  4. Step 4: Simplify right side
    10,899.97x = 93,024,338.09
  5. Step 5: Solve for x
    x = 93,024,338.09/10,899.97
  6. Step 6: Final answer
    x = 8,534.37

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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.