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Finding the Fourth Proportional to 10,903.38, 15,047.15 and 6,427.32

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Solution

The fourth proportional to 10,903.38, 15,047.15 and 6,427.32 is: 8,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.38 : 15,047.15 = 6,427.32 : x
  2. Step 2: Convert to fraction form
    10,903.38/15,047.15 = 6,427.32/x
  3. Step 3: Cross multiply
    10,903.38x = 15,047.15 × 6,427.32
  4. Step 4: Simplify right side
    10,903.38x = 96,712,848.14
  5. Step 5: Solve for x
    x = 96,712,848.14/10,903.38
  6. Step 6: Final answer
    x = 8,869.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.