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Finding the Fourth Proportional to 11,680.19, 17,543.87 and 7,009.06

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Solution

The fourth proportional to 11,680.19, 17,543.87 and 7,009.06 is: 10,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.19 : 17,543.87 = 7,009.06 : x
  2. Step 2: Convert to fraction form
    11,680.19/17,543.87 = 7,009.06/x
  3. Step 3: Cross multiply
    11,680.19x = 17,543.87 × 7,009.06
  4. Step 4: Simplify right side
    11,680.19x = 122,966,037.46
  5. Step 5: Solve for x
    x = 122,966,037.46/11,680.19
  6. Step 6: Final answer
    x = 10,527.74

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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.