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Finding the Fourth Proportional to 10,656.96, 14,705.76 and 5,876.16

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Solution

The fourth proportional to 10,656.96, 14,705.76 and 5,876.16 is: 8,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.96 : 14,705.76 = 5,876.16 : x
  2. Step 2: Convert to fraction form
    10,656.96/14,705.76 = 5,876.16/x
  3. Step 3: Cross multiply
    10,656.96x = 14,705.76 × 5,876.16
  4. Step 4: Simplify right side
    10,656.96x = 86,413,398.68
  5. Step 5: Solve for x
    x = 86,413,398.68/10,656.96
  6. Step 6: Final answer
    x = 8,108.63

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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.