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Finding the Fourth Proportional to 10,259.96, 14,154.96 and 7,870.36

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Solution

The fourth proportional to 10,259.96, 14,154.96 and 7,870.36 is: 10,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.96 : 14,154.96 = 7,870.36 : x
  2. Step 2: Convert to fraction form
    10,259.96/14,154.96 = 7,870.36/x
  3. Step 3: Cross multiply
    10,259.96x = 14,154.96 × 7,870.36
  4. Step 4: Simplify right side
    10,259.96x = 111,404,630.99
  5. Step 5: Solve for x
    x = 111,404,630.99/10,259.96
  6. Step 6: Final answer
    x = 10,858.19

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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.