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Finding the Fourth Proportional to 7,918.40, 10,926.96 and 4,561.40

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Solution

The fourth proportional to 7,918.40, 10,926.96 and 4,561.40 is: 6,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.40 : 10,926.96 = 4,561.40 : x
  2. Step 2: Convert to fraction form
    7,918.40/10,926.96 = 4,561.40/x
  3. Step 3: Cross multiply
    7,918.40x = 10,926.96 × 4,561.40
  4. Step 4: Simplify right side
    7,918.40x = 49,842,235.34
  5. Step 5: Solve for x
    x = 49,842,235.34/7,918.40
  6. Step 6: Final answer
    x = 6,294.48

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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.