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Finding the Fourth Proportional to 11,574.10, 15,973.77 and 6,539.95

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Solution

The fourth proportional to 11,574.10, 15,973.77 and 6,539.95 is: 9,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.10 : 15,973.77 = 6,539.95 : x
  2. Step 2: Convert to fraction form
    11,574.10/15,973.77 = 6,539.95/x
  3. Step 3: Cross multiply
    11,574.10x = 15,973.77 × 6,539.95
  4. Step 4: Simplify right side
    11,574.10x = 104,467,657.11
  5. Step 5: Solve for x
    x = 104,467,657.11/11,574.10
  6. Step 6: Final answer
    x = 9,025.99

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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.