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Finding the Fourth Proportional to 10,632.41, 14,657.51 and 7,478.81

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Solution

The fourth proportional to 10,632.41, 14,657.51 and 7,478.81 is: 10,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.41 : 14,657.51 = 7,478.81 : x
  2. Step 2: Convert to fraction form
    10,632.41/14,657.51 = 7,478.81/x
  3. Step 3: Cross multiply
    10,632.41x = 14,657.51 × 7,478.81
  4. Step 4: Simplify right side
    10,632.41x = 109,620,677.77
  5. Step 5: Solve for x
    x = 109,620,677.77/10,632.41
  6. Step 6: Final answer
    x = 10,310.05

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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.