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Finding the Fourth Proportional to 10,628.95, 14,688.18 and 7,971.74

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Solution

The fourth proportional to 10,628.95, 14,688.18 and 7,971.74 is: 11,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.95 : 14,688.18 = 7,971.74 : x
  2. Step 2: Convert to fraction form
    10,628.95/14,688.18 = 7,971.74/x
  3. Step 3: Cross multiply
    10,628.95x = 14,688.18 × 7,971.74
  4. Step 4: Simplify right side
    10,628.95x = 117,090,395.05
  5. Step 5: Solve for x
    x = 117,090,395.05/10,628.95
  6. Step 6: Final answer
    x = 11,016.18

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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.