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Finding the Fourth Proportional to 10,577.84, 14,597.94 and 5,862.14

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Solution

The fourth proportional to 10,577.84, 14,597.94 and 5,862.14 is: 8,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.84 : 14,597.94 = 5,862.14 : x
  2. Step 2: Convert to fraction form
    10,577.84/14,597.94 = 5,862.14/x
  3. Step 3: Cross multiply
    10,577.84x = 14,597.94 × 5,862.14
  4. Step 4: Simplify right side
    10,577.84x = 85,575,167.99
  5. Step 5: Solve for x
    x = 85,575,167.99/10,577.84
  6. Step 6: Final answer
    x = 8,090.04

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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.