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Finding the Fourth Proportional to 10,341.48, 14,277.06 and 7,914.27

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Solution

The fourth proportional to 10,341.48, 14,277.06 and 7,914.27 is: 10,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.48 : 14,277.06 = 7,914.27 : x
  2. Step 2: Convert to fraction form
    10,341.48/14,277.06 = 7,914.27/x
  3. Step 3: Cross multiply
    10,341.48x = 14,277.06 × 7,914.27
  4. Step 4: Simplify right side
    10,341.48x = 112,992,507.65
  5. Step 5: Solve for x
    x = 112,992,507.65/10,341.48
  6. Step 6: Final answer
    x = 10,926.14

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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.