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Finding the Fourth Proportional to 11,511.64, 15,887.88 and 7,037.98

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Solution

The fourth proportional to 11,511.64, 15,887.88 and 7,037.98 is: 9,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.64 : 15,887.88 = 7,037.98 : x
  2. Step 2: Convert to fraction form
    11,511.64/15,887.88 = 7,037.98/x
  3. Step 3: Cross multiply
    11,511.64x = 15,887.88 × 7,037.98
  4. Step 4: Simplify right side
    11,511.64x = 111,818,581.68
  5. Step 5: Solve for x
    x = 111,818,581.68/11,511.64
  6. Step 6: Final answer
    x = 9,713.52

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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.