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Finding the Fourth Proportional to 11,536.53, 15,920.75 and 6,500.93

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Solution

The fourth proportional to 11,536.53, 15,920.75 and 6,500.93 is: 8,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.53 : 15,920.75 = 6,500.93 : x
  2. Step 2: Convert to fraction form
    11,536.53/15,920.75 = 6,500.93/x
  3. Step 3: Cross multiply
    11,536.53x = 15,920.75 × 6,500.93
  4. Step 4: Simplify right side
    11,536.53x = 103,499,617.95
  5. Step 5: Solve for x
    x = 103,499,617.95/11,536.53
  6. Step 6: Final answer
    x = 8,971.47

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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.