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Finding the Fourth Proportional to 11,438.40, 15,795.36 and 7,248

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Solution

The fourth proportional to 11,438.40, 15,795.36 and 7,248 is: 10,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.40 : 15,795.36 = 7,248 : x
  2. Step 2: Convert to fraction form
    11,438.40/15,795.36 = 7,248/x
  3. Step 3: Cross multiply
    11,438.40x = 15,795.36 × 7,248
  4. Step 4: Simplify right side
    11,438.40x = 114,484,769.28
  5. Step 5: Solve for x
    x = 114,484,769.28/11,438.40
  6. Step 6: Final answer
    x = 10,008.81

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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.