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Finding the Fourth Proportional to 11,259.10, 15,538.50 and 6,543.10

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Solution

The fourth proportional to 11,259.10, 15,538.50 and 6,543.10 is: 9,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.10 : 15,538.50 = 6,543.10 : x
  2. Step 2: Convert to fraction form
    11,259.10/15,538.50 = 6,543.10/x
  3. Step 3: Cross multiply
    11,259.10x = 15,538.50 × 6,543.10
  4. Step 4: Simplify right side
    11,259.10x = 101,669,959.35
  5. Step 5: Solve for x
    x = 101,669,959.35/11,259.10
  6. Step 6: Final answer
    x = 9,030.03

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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.