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Finding the Fourth Proportional to 11,547.50, 15,944.09 and 7,077.36

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Solution

The fourth proportional to 11,547.50, 15,944.09 and 7,077.36 is: 9,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.50 : 15,944.09 = 7,077.36 : x
  2. Step 2: Convert to fraction form
    11,547.50/15,944.09 = 7,077.36/x
  3. Step 3: Cross multiply
    11,547.50x = 15,944.09 × 7,077.36
  4. Step 4: Simplify right side
    11,547.50x = 112,842,029.42
  5. Step 5: Solve for x
    x = 112,842,029.42/11,547.50
  6. Step 6: Final answer
    x = 9,771.99

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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.