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Finding the Fourth Proportional to 10,155.51, 14,014.17 and 5,905.98

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Solution

The fourth proportional to 10,155.51, 14,014.17 and 5,905.98 is: 8,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.51 : 14,014.17 = 5,905.98 : x
  2. Step 2: Convert to fraction form
    10,155.51/14,014.17 = 5,905.98/x
  3. Step 3: Cross multiply
    10,155.51x = 14,014.17 × 5,905.98
  4. Step 4: Simplify right side
    10,155.51x = 82,767,407.74
  5. Step 5: Solve for x
    x = 82,767,407.74/10,155.51
  6. Step 6: Final answer
    x = 8,150.00

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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.