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Finding the Fourth Proportional to 10,435.08, 14,400 and 5,719.32

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Solution

The fourth proportional to 10,435.08, 14,400 and 5,719.32 is: 7,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.08 : 14,400 = 5,719.32 : x
  2. Step 2: Convert to fraction form
    10,435.08/14,400 = 5,719.32/x
  3. Step 3: Cross multiply
    10,435.08x = 14,400 × 5,719.32
  4. Step 4: Simplify right side
    10,435.08x = 82,358,208
  5. Step 5: Solve for x
    x = 82,358,208/10,435.08
  6. Step 6: Final answer
    x = 7,892.44

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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.