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Finding the Fourth Proportional to 10,966.40, 16,449.60 and 4,038.08

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Solution

The fourth proportional to 10,966.40, 16,449.60 and 4,038.08 is: 6,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.40 : 16,449.60 = 4,038.08 : x
  2. Step 2: Convert to fraction form
    10,966.40/16,449.60 = 4,038.08/x
  3. Step 3: Cross multiply
    10,966.40x = 16,449.60 × 4,038.08
  4. Step 4: Simplify right side
    10,966.40x = 66,424,800.77
  5. Step 5: Solve for x
    x = 66,424,800.77/10,966.40
  6. Step 6: Final answer
    x = 6,057.12

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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.