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Finding the Fourth Proportional to 10,070.12, 15,096.86 and 4,443.78

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Solution

The fourth proportional to 10,070.12, 15,096.86 and 4,443.78 is: 6,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.12 : 15,096.86 = 4,443.78 : x
  2. Step 2: Convert to fraction form
    10,070.12/15,096.86 = 4,443.78/x
  3. Step 3: Cross multiply
    10,070.12x = 15,096.86 × 4,443.78
  4. Step 4: Simplify right side
    10,070.12x = 67,087,124.53
  5. Step 5: Solve for x
    x = 67,087,124.53/10,070.12
  6. Step 6: Final answer
    x = 6,662.00

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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.