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Finding the Fourth Proportional to 11,701.16, 17,533.50 and 7,305.32

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Solution

The fourth proportional to 11,701.16, 17,533.50 and 7,305.32 is: 10,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.16 : 17,533.50 = 7,305.32 : x
  2. Step 2: Convert to fraction form
    11,701.16/17,533.50 = 7,305.32/x
  3. Step 3: Cross multiply
    11,701.16x = 17,533.50 × 7,305.32
  4. Step 4: Simplify right side
    11,701.16x = 128,087,828.22
  5. Step 5: Solve for x
    x = 128,087,828.22/11,701.16
  6. Step 6: Final answer
    x = 10,946.59

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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.