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Finding the Fourth Proportional to 10,515.80, 14,507.06 and 6,038.44

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Solution

The fourth proportional to 10,515.80, 14,507.06 and 6,038.44 is: 8,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.80 : 14,507.06 = 6,038.44 : x
  2. Step 2: Convert to fraction form
    10,515.80/14,507.06 = 6,038.44/x
  3. Step 3: Cross multiply
    10,515.80x = 14,507.06 × 6,038.44
  4. Step 4: Simplify right side
    10,515.80x = 87,600,011.39
  5. Step 5: Solve for x
    x = 87,600,011.39/10,515.80
  6. Step 6: Final answer
    x = 8,330.32

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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.