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Finding the Fourth Proportional to 10,581.10, 14,595.28 and 6,809.17

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Solution

The fourth proportional to 10,581.10, 14,595.28 and 6,809.17 is: 9,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.10 : 14,595.28 = 6,809.17 : x
  2. Step 2: Convert to fraction form
    10,581.10/14,595.28 = 6,809.17/x
  3. Step 3: Cross multiply
    10,581.10x = 14,595.28 × 6,809.17
  4. Step 4: Simplify right side
    10,581.10x = 99,381,742.72
  5. Step 5: Solve for x
    x = 99,381,742.72/10,581.10
  6. Step 6: Final answer
    x = 9,392.38

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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.