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Finding the Fourth Proportional to 10,625.57, 14,663.01 and 6,149.40

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Solution

The fourth proportional to 10,625.57, 14,663.01 and 6,149.40 is: 8,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.57 : 14,663.01 = 6,149.40 : x
  2. Step 2: Convert to fraction form
    10,625.57/14,663.01 = 6,149.40/x
  3. Step 3: Cross multiply
    10,625.57x = 14,663.01 × 6,149.40
  4. Step 4: Simplify right side
    10,625.57x = 90,168,705.21
  5. Step 5: Solve for x
    x = 90,168,705.21/10,625.57
  6. Step 6: Final answer
    x = 8,486.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.