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Finding the Fourth Proportional to 10,903.36, 15,047.68 and 6,428.48

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Solution

The fourth proportional to 10,903.36, 15,047.68 and 6,428.48 is: 8,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.36 : 15,047.68 = 6,428.48 : x
  2. Step 2: Convert to fraction form
    10,903.36/15,047.68 = 6,428.48/x
  3. Step 3: Cross multiply
    10,903.36x = 15,047.68 × 6,428.48
  4. Step 4: Simplify right side
    10,903.36x = 96,733,709.93
  5. Step 5: Solve for x
    x = 96,733,709.93/10,903.36
  6. Step 6: Final answer
    x = 8,871.92

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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.