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Finding the Fourth Proportional to 10,400.18, 14,352.10 and 5,684.40

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Solution

The fourth proportional to 10,400.18, 14,352.10 and 5,684.40 is: 7,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.18 : 14,352.10 = 5,684.40 : x
  2. Step 2: Convert to fraction form
    10,400.18/14,352.10 = 5,684.40/x
  3. Step 3: Cross multiply
    10,400.18x = 14,352.10 × 5,684.40
  4. Step 4: Simplify right side
    10,400.18x = 81,583,077.24
  5. Step 5: Solve for x
    x = 81,583,077.24/10,400.18
  6. Step 6: Final answer
    x = 7,844.39

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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.