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Finding the Fourth Proportional to 10,954.95, 15,115.58 and 6,478.83

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Solution

The fourth proportional to 10,954.95, 15,115.58 and 6,478.83 is: 8,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.95 : 15,115.58 = 6,478.83 : x
  2. Step 2: Convert to fraction form
    10,954.95/15,115.58 = 6,478.83/x
  3. Step 3: Cross multiply
    10,954.95x = 15,115.58 × 6,478.83
  4. Step 4: Simplify right side
    10,954.95x = 97,931,240.78
  5. Step 5: Solve for x
    x = 97,931,240.78/10,954.95
  6. Step 6: Final answer
    x = 8,939.45

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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.