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Finding the Fourth Proportional to 10,485.16, 15,726.62 and 6,577.96

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Solution

The fourth proportional to 10,485.16, 15,726.62 and 6,577.96 is: 9,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.16 : 15,726.62 = 6,577.96 : x
  2. Step 2: Convert to fraction form
    10,485.16/15,726.62 = 6,577.96/x
  3. Step 3: Cross multiply
    10,485.16x = 15,726.62 × 6,577.96
  4. Step 4: Simplify right side
    10,485.16x = 103,449,077.30
  5. Step 5: Solve for x
    x = 103,449,077.30/10,485.16
  6. Step 6: Final answer
    x = 9,866.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.