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Finding the Fourth Proportional to 11,345.70, 15,656.17 and 6,309.63

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Solution

The fourth proportional to 11,345.70, 15,656.17 and 6,309.63 is: 8,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.70 : 15,656.17 = 6,309.63 : x
  2. Step 2: Convert to fraction form
    11,345.70/15,656.17 = 6,309.63/x
  3. Step 3: Cross multiply
    11,345.70x = 15,656.17 × 6,309.63
  4. Step 4: Simplify right side
    11,345.70x = 98,784,639.92
  5. Step 5: Solve for x
    x = 98,784,639.92/11,345.70
  6. Step 6: Final answer
    x = 8,706.79

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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.