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Finding the Fourth Proportional to 10,254.40, 15,384 and 3,328.88

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Solution

The fourth proportional to 10,254.40, 15,384 and 3,328.88 is: 4,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.40 : 15,384 = 3,328.88 : x
  2. Step 2: Convert to fraction form
    10,254.40/15,384 = 3,328.88/x
  3. Step 3: Cross multiply
    10,254.40x = 15,384 × 3,328.88
  4. Step 4: Simplify right side
    10,254.40x = 51,211,489.92
  5. Step 5: Solve for x
    x = 51,211,489.92/10,254.40
  6. Step 6: Final answer
    x = 4,994.10

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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.