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Finding the Fourth Proportional to 10,404, 14,364.40 and 6,430.94

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Solution

The fourth proportional to 10,404, 14,364.40 and 6,430.94 is: 8,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404 : 14,364.40 = 6,430.94 : x
  2. Step 2: Convert to fraction form
    10,404/14,364.40 = 6,430.94/x
  3. Step 3: Cross multiply
    10,404x = 14,364.40 × 6,430.94
  4. Step 4: Simplify right side
    10,404x = 92,376,594.54
  5. Step 5: Solve for x
    x = 92,376,594.54/10,404
  6. Step 6: Final answer
    x = 8,878.95

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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.