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Finding the Fourth Proportional to 10,431.86, 15,652.80 and 6,482.06

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Solution

The fourth proportional to 10,431.86, 15,652.80 and 6,482.06 is: 9,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.86 : 15,652.80 = 6,482.06 : x
  2. Step 2: Convert to fraction form
    10,431.86/15,652.80 = 6,482.06/x
  3. Step 3: Cross multiply
    10,431.86x = 15,652.80 × 6,482.06
  4. Step 4: Simplify right side
    10,431.86x = 101,462,388.77
  5. Step 5: Solve for x
    x = 101,462,388.77/10,431.86
  6. Step 6: Final answer
    x = 9,726.20

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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.