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Finding the Fourth Proportional to 11,971.68, 17,985.06 and 7,543.20

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Solution

The fourth proportional to 11,971.68, 17,985.06 and 7,543.20 is: 11,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.68 : 17,985.06 = 7,543.20 : x
  2. Step 2: Convert to fraction form
    11,971.68/17,985.06 = 7,543.20/x
  3. Step 3: Cross multiply
    11,971.68x = 17,985.06 × 7,543.20
  4. Step 4: Simplify right side
    11,971.68x = 135,664,904.59
  5. Step 5: Solve for x
    x = 135,664,904.59/11,971.68
  6. Step 6: Final answer
    x = 11,332.15

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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.