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Finding the Fourth Proportional to 10,759.16, 14,846.91 and 6,043.34

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Solution

The fourth proportional to 10,759.16, 14,846.91 and 6,043.34 is: 8,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.16 : 14,846.91 = 6,043.34 : x
  2. Step 2: Convert to fraction form
    10,759.16/14,846.91 = 6,043.34/x
  3. Step 3: Cross multiply
    10,759.16x = 14,846.91 × 6,043.34
  4. Step 4: Simplify right side
    10,759.16x = 89,724,925.08
  5. Step 5: Solve for x
    x = 89,724,925.08/10,759.16
  6. Step 6: Final answer
    x = 8,339.40

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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.