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Finding the Fourth Proportional to 10,591.44, 14,616 and 5,875.64

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Solution

The fourth proportional to 10,591.44, 14,616 and 5,875.64 is: 8,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.44 : 14,616 = 5,875.64 : x
  2. Step 2: Convert to fraction form
    10,591.44/14,616 = 5,875.64/x
  3. Step 3: Cross multiply
    10,591.44x = 14,616 × 5,875.64
  4. Step 4: Simplify right side
    10,591.44x = 85,878,354.24
  5. Step 5: Solve for x
    x = 85,878,354.24/10,591.44
  6. Step 6: Final answer
    x = 8,108.28

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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.