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Finding the Fourth Proportional to 10,151.66, 15,207.35 and 7,950.08

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Solution

The fourth proportional to 10,151.66, 15,207.35 and 7,950.08 is: 11,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.66 : 15,207.35 = 7,950.08 : x
  2. Step 2: Convert to fraction form
    10,151.66/15,207.35 = 7,950.08/x
  3. Step 3: Cross multiply
    10,151.66x = 15,207.35 × 7,950.08
  4. Step 4: Simplify right side
    10,151.66x = 120,899,647.36
  5. Step 5: Solve for x
    x = 120,899,647.36/10,151.66
  6. Step 6: Final answer
    x = 11,909.34

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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.