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Finding the Fourth Proportional to 11,577.95, 15,977.64 and 6,272.76

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Solution

The fourth proportional to 11,577.95, 15,977.64 and 6,272.76 is: 8,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.95 : 15,977.64 = 6,272.76 : x
  2. Step 2: Convert to fraction form
    11,577.95/15,977.64 = 6,272.76/x
  3. Step 3: Cross multiply
    11,577.95x = 15,977.64 × 6,272.76
  4. Step 4: Simplify right side
    11,577.95x = 100,223,901.09
  5. Step 5: Solve for x
    x = 100,223,901.09/11,577.95
  6. Step 6: Final answer
    x = 8,656.45

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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.