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Finding the Fourth Proportional to 11,312.63, 16,969.40 and 5,386.46

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Solution

The fourth proportional to 11,312.63, 16,969.40 and 5,386.46 is: 8,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.63 : 16,969.40 = 5,386.46 : x
  2. Step 2: Convert to fraction form
    11,312.63/16,969.40 = 5,386.46/x
  3. Step 3: Cross multiply
    11,312.63x = 16,969.40 × 5,386.46
  4. Step 4: Simplify right side
    11,312.63x = 91,405,009.82
  5. Step 5: Solve for x
    x = 91,405,009.82/11,312.63
  6. Step 6: Final answer
    x = 8,079.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.