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Finding the Fourth Proportional to 10,051.49, 13,871.05 and 6,071.86

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Solution

The fourth proportional to 10,051.49, 13,871.05 and 6,071.86 is: 8,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.49 : 13,871.05 = 6,071.86 : x
  2. Step 2: Convert to fraction form
    10,051.49/13,871.05 = 6,071.86/x
  3. Step 3: Cross multiply
    10,051.49x = 13,871.05 × 6,071.86
  4. Step 4: Simplify right side
    10,051.49x = 84,223,075.81
  5. Step 5: Solve for x
    x = 84,223,075.81/10,051.49
  6. Step 6: Final answer
    x = 8,379.16

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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.