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Finding the Fourth Proportional to 10,655.74, 14,705.04 and 5,876.34

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Solution

The fourth proportional to 10,655.74, 14,705.04 and 5,876.34 is: 8,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.74 : 14,705.04 = 5,876.34 : x
  2. Step 2: Convert to fraction form
    10,655.74/14,705.04 = 5,876.34/x
  3. Step 3: Cross multiply
    10,655.74x = 14,705.04 × 5,876.34
  4. Step 4: Simplify right side
    10,655.74x = 86,411,814.75
  5. Step 5: Solve for x
    x = 86,411,814.75/10,655.74
  6. Step 6: Final answer
    x = 8,109.41

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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.