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Finding the Fourth Proportional to 11,465.80, 15,823.70 and 6,431.15

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Solution

The fourth proportional to 11,465.80, 15,823.70 and 6,431.15 is: 8,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.80 : 15,823.70 = 6,431.15 : x
  2. Step 2: Convert to fraction form
    11,465.80/15,823.70 = 6,431.15/x
  3. Step 3: Cross multiply
    11,465.80x = 15,823.70 × 6,431.15
  4. Step 4: Simplify right side
    11,465.80x = 101,764,566.94
  5. Step 5: Solve for x
    x = 101,764,566.94/11,465.80
  6. Step 6: Final answer
    x = 8,875.49

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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.