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Finding the Fourth Proportional to 10,970.78, 16,435.44 and 5,417.64

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Solution

The fourth proportional to 10,970.78, 16,435.44 and 5,417.64 is: 8,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.78 : 16,435.44 = 5,417.64 : x
  2. Step 2: Convert to fraction form
    10,970.78/16,435.44 = 5,417.64/x
  3. Step 3: Cross multiply
    10,970.78x = 16,435.44 × 5,417.64
  4. Step 4: Simplify right side
    10,970.78x = 89,041,297.16
  5. Step 5: Solve for x
    x = 89,041,297.16/10,970.78
  6. Step 6: Final answer
    x = 8,116.23

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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.