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Finding the Fourth Proportional to 10,490.12, 14,461.98 and 7,651.88

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Solution

The fourth proportional to 10,490.12, 14,461.98 and 7,651.88 is: 10,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.12 : 14,461.98 = 7,651.88 : x
  2. Step 2: Convert to fraction form
    10,490.12/14,461.98 = 7,651.88/x
  3. Step 3: Cross multiply
    10,490.12x = 14,461.98 × 7,651.88
  4. Step 4: Simplify right side
    10,490.12x = 110,661,335.52
  5. Step 5: Solve for x
    x = 110,661,335.52/10,490.12
  6. Step 6: Final answer
    x = 10,549.10

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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.