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Finding the Fourth Proportional to 10,586.76, 14,609.73 and 5,871.07

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Solution

The fourth proportional to 10,586.76, 14,609.73 and 5,871.07 is: 8,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.76 : 14,609.73 = 5,871.07 : x
  2. Step 2: Convert to fraction form
    10,586.76/14,609.73 = 5,871.07/x
  3. Step 3: Cross multiply
    10,586.76x = 14,609.73 × 5,871.07
  4. Step 4: Simplify right side
    10,586.76x = 85,774,747.51
  5. Step 5: Solve for x
    x = 85,774,747.51/10,586.76
  6. Step 6: Final answer
    x = 8,102.08

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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.