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Finding the Fourth Proportional to 10,430.82, 14,394.38 and 5,715.11

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Solution

The fourth proportional to 10,430.82, 14,394.38 and 5,715.11 is: 7,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.82 : 14,394.38 = 5,715.11 : x
  2. Step 2: Convert to fraction form
    10,430.82/14,394.38 = 5,715.11/x
  3. Step 3: Cross multiply
    10,430.82x = 14,394.38 × 5,715.11
  4. Step 4: Simplify right side
    10,430.82x = 82,265,364.53
  5. Step 5: Solve for x
    x = 82,265,364.53/10,430.82
  6. Step 6: Final answer
    x = 7,886.76

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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.