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Finding the Fourth Proportional to 10,964.15, 15,130.04 and 6,986.54

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Solution

The fourth proportional to 10,964.15, 15,130.04 and 6,986.54 is: 9,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.15 : 15,130.04 = 6,986.54 : x
  2. Step 2: Convert to fraction form
    10,964.15/15,130.04 = 6,986.54/x
  3. Step 3: Cross multiply
    10,964.15x = 15,130.04 × 6,986.54
  4. Step 4: Simplify right side
    10,964.15x = 105,706,519.08
  5. Step 5: Solve for x
    x = 105,706,519.08/10,964.15
  6. Step 6: Final answer
    x = 9,641.11

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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.