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Finding the Fourth Proportional to 11,502.88, 15,834.82 and 8,513.08

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Solution

The fourth proportional to 11,502.88, 15,834.82 and 8,513.08 is: 11,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.88 : 15,834.82 = 8,513.08 : x
  2. Step 2: Convert to fraction form
    11,502.88/15,834.82 = 8,513.08/x
  3. Step 3: Cross multiply
    11,502.88x = 15,834.82 × 8,513.08
  4. Step 4: Simplify right side
    11,502.88x = 134,803,089.45
  5. Step 5: Solve for x
    x = 134,803,089.45/11,502.88
  6. Step 6: Final answer
    x = 11,719.07

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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.