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Finding the Fourth Proportional to 10,508.88, 14,495.84 and 6,257.12

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Solution

The fourth proportional to 10,508.88, 14,495.84 and 6,257.12 is: 8,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.88 : 14,495.84 = 6,257.12 : x
  2. Step 2: Convert to fraction form
    10,508.88/14,495.84 = 6,257.12/x
  3. Step 3: Cross multiply
    10,508.88x = 14,495.84 × 6,257.12
  4. Step 4: Simplify right side
    10,508.88x = 90,702,210.38
  5. Step 5: Solve for x
    x = 90,702,210.38/10,508.88
  6. Step 6: Final answer
    x = 8,631.01

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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.