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Finding the Fourth Proportional to 10,440.40, 15,664.20 and 4,601.20

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Solution

The fourth proportional to 10,440.40, 15,664.20 and 4,601.20 is: 6,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.40 : 15,664.20 = 4,601.20 : x
  2. Step 2: Convert to fraction form
    10,440.40/15,664.20 = 4,601.20/x
  3. Step 3: Cross multiply
    10,440.40x = 15,664.20 × 4,601.20
  4. Step 4: Simplify right side
    10,440.40x = 72,074,117.04
  5. Step 5: Solve for x
    x = 72,074,117.04/10,440.40
  6. Step 6: Final answer
    x = 6,903.39

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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.