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Finding the Fourth Proportional to 10,587.04, 15,869.04 and 7,972

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Solution

The fourth proportional to 10,587.04, 15,869.04 and 7,972 is: 11,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.04 : 15,869.04 = 7,972 : x
  2. Step 2: Convert to fraction form
    10,587.04/15,869.04 = 7,972/x
  3. Step 3: Cross multiply
    10,587.04x = 15,869.04 × 7,972
  4. Step 4: Simplify right side
    10,587.04x = 126,507,986.88
  5. Step 5: Solve for x
    x = 126,507,986.88/10,587.04
  6. Step 6: Final answer
    x = 11,949.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.