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Finding the Fourth Proportional to 11,310.29, 15,597.98 and 7,061.74

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Solution

The fourth proportional to 11,310.29, 15,597.98 and 7,061.74 is: 9,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.29 : 15,597.98 = 7,061.74 : x
  2. Step 2: Convert to fraction form
    11,310.29/15,597.98 = 7,061.74/x
  3. Step 3: Cross multiply
    11,310.29x = 15,597.98 × 7,061.74
  4. Step 4: Simplify right side
    11,310.29x = 110,148,879.29
  5. Step 5: Solve for x
    x = 110,148,879.29/11,310.29
  6. Step 6: Final answer
    x = 9,738.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.