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Finding the Fourth Proportional to 11,536.71, 15,920.06 and 6,500.94

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Solution

The fourth proportional to 11,536.71, 15,920.06 and 6,500.94 is: 8,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.71 : 15,920.06 = 6,500.94 : x
  2. Step 2: Convert to fraction form
    11,536.71/15,920.06 = 6,500.94/x
  3. Step 3: Cross multiply
    11,536.71x = 15,920.06 × 6,500.94
  4. Step 4: Simplify right side
    11,536.71x = 103,495,322.35
  5. Step 5: Solve for x
    x = 103,495,322.35/11,536.71
  6. Step 6: Final answer
    x = 8,970.96

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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.