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Finding the Fourth Proportional to 7,955.96, 10,974.16 and 5,127

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Solution

The fourth proportional to 7,955.96, 10,974.16 and 5,127 is: 7,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.96 : 10,974.16 = 5,127 : x
  2. Step 2: Convert to fraction form
    7,955.96/10,974.16 = 5,127/x
  3. Step 3: Cross multiply
    7,955.96x = 10,974.16 × 5,127
  4. Step 4: Simplify right side
    7,955.96x = 56,264,518.32
  5. Step 5: Solve for x
    x = 56,264,518.32/7,955.96
  6. Step 6: Final answer
    x = 7,072.00

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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.