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Finding the Fourth Proportional to 10,328.64, 15,482.30 and 4,086.12

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Solution

The fourth proportional to 10,328.64, 15,482.30 and 4,086.12 is: 6,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.64 : 15,482.30 = 4,086.12 : x
  2. Step 2: Convert to fraction form
    10,328.64/15,482.30 = 4,086.12/x
  3. Step 3: Cross multiply
    10,328.64x = 15,482.30 × 4,086.12
  4. Step 4: Simplify right side
    10,328.64x = 63,262,535.68
  5. Step 5: Solve for x
    x = 63,262,535.68/10,328.64
  6. Step 6: Final answer
    x = 6,124.96

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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.