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Finding the Fourth Proportional to 10,498.59, 14,486.51 and 5,960.57

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Solution

The fourth proportional to 10,498.59, 14,486.51 and 5,960.57 is: 8,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.59 : 14,486.51 = 5,960.57 : x
  2. Step 2: Convert to fraction form
    10,498.59/14,486.51 = 5,960.57/x
  3. Step 3: Cross multiply
    10,498.59x = 14,486.51 × 5,960.57
  4. Step 4: Simplify right side
    10,498.59x = 86,347,754.68
  5. Step 5: Solve for x
    x = 86,347,754.68/10,498.59
  6. Step 6: Final answer
    x = 8,224.70

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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.