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Finding the Fourth Proportional to 10,577.63, 14,597.12 and 5,862.21

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Solution

The fourth proportional to 10,577.63, 14,597.12 and 5,862.21 is: 8,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.63 : 14,597.12 = 5,862.21 : x
  2. Step 2: Convert to fraction form
    10,577.63/14,597.12 = 5,862.21/x
  3. Step 3: Cross multiply
    10,577.63x = 14,597.12 × 5,862.21
  4. Step 4: Simplify right side
    10,577.63x = 85,571,397.49
  5. Step 5: Solve for x
    x = 85,571,397.49/10,577.63
  6. Step 6: Final answer
    x = 8,089.85

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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.