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Finding the Fourth Proportional to 10,548.63, 14,555.40 and 5,832

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Solution

The fourth proportional to 10,548.63, 14,555.40 and 5,832 is: 8,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.63 : 14,555.40 = 5,832 : x
  2. Step 2: Convert to fraction form
    10,548.63/14,555.40 = 5,832/x
  3. Step 3: Cross multiply
    10,548.63x = 14,555.40 × 5,832
  4. Step 4: Simplify right side
    10,548.63x = 84,887,070.93
  5. Step 5: Solve for x
    x = 84,887,070.93/10,548.63
  6. Step 6: Final answer
    x = 8,047.21

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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.