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Finding the Fourth Proportional to 10,577.88, 15,854.94 and 5,026.68

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Solution

The fourth proportional to 10,577.88, 15,854.94 and 5,026.68 is: 7,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.88 : 15,854.94 = 5,026.68 : x
  2. Step 2: Convert to fraction form
    10,577.88/15,854.94 = 5,026.68/x
  3. Step 3: Cross multiply
    10,577.88x = 15,854.94 × 5,026.68
  4. Step 4: Simplify right side
    10,577.88x = 79,697,709.80
  5. Step 5: Solve for x
    x = 79,697,709.80/10,577.88
  6. Step 6: Final answer
    x = 7,534.37

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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.