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Finding the Fourth Proportional to 10,657.32, 14,708.22 and 6,409.78

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Solution

The fourth proportional to 10,657.32, 14,708.22 and 6,409.78 is: 8,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.32 : 14,708.22 = 6,409.78 : x
  2. Step 2: Convert to fraction form
    10,657.32/14,708.22 = 6,409.78/x
  3. Step 3: Cross multiply
    10,657.32x = 14,708.22 × 6,409.78
  4. Step 4: Simplify right side
    10,657.32x = 94,276,454.39
  5. Step 5: Solve for x
    x = 94,276,454.39/10,657.32
  6. Step 6: Final answer
    x = 8,846.17

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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.