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Finding the Fourth Proportional to 10,577.75, 14,597.40 and 6,101.42

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Solution

The fourth proportional to 10,577.75, 14,597.40 and 6,101.42 is: 8,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.75 : 14,597.40 = 6,101.42 : x
  2. Step 2: Convert to fraction form
    10,577.75/14,597.40 = 6,101.42/x
  3. Step 3: Cross multiply
    10,577.75x = 14,597.40 × 6,101.42
  4. Step 4: Simplify right side
    10,577.75x = 89,064,795.32
  5. Step 5: Solve for x
    x = 89,064,795.32/10,577.75
  6. Step 6: Final answer
    x = 8,420.02

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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.