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Finding the Fourth Proportional to 10,795.14, 14,892.76 and 7,017.10

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Solution

The fourth proportional to 10,795.14, 14,892.76 and 7,017.10 is: 9,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.14 : 14,892.76 = 7,017.10 : x
  2. Step 2: Convert to fraction form
    10,795.14/14,892.76 = 7,017.10/x
  3. Step 3: Cross multiply
    10,795.14x = 14,892.76 × 7,017.10
  4. Step 4: Simplify right side
    10,795.14x = 104,503,957.74
  5. Step 5: Solve for x
    x = 104,503,957.74/10,795.14
  6. Step 6: Final answer
    x = 9,680.65

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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.