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Finding the Fourth Proportional to 7,971.10, 10,985.94 and 7,054.54

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Solution

The fourth proportional to 7,971.10, 10,985.94 and 7,054.54 is: 9,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.10 : 10,985.94 = 7,054.54 : x
  2. Step 2: Convert to fraction form
    7,971.10/10,985.94 = 7,054.54/x
  3. Step 3: Cross multiply
    7,971.10x = 10,985.94 × 7,054.54
  4. Step 4: Simplify right side
    7,971.10x = 77,500,753.17
  5. Step 5: Solve for x
    x = 77,500,753.17/7,971.10
  6. Step 6: Final answer
    x = 9,722.72

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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.