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Finding the Fourth Proportional to 10,373.78, 14,315.73 and 5,657.96

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Solution

The fourth proportional to 10,373.78, 14,315.73 and 5,657.96 is: 7,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.78 : 14,315.73 = 5,657.96 : x
  2. Step 2: Convert to fraction form
    10,373.78/14,315.73 = 5,657.96/x
  3. Step 3: Cross multiply
    10,373.78x = 14,315.73 × 5,657.96
  4. Step 4: Simplify right side
    10,373.78x = 80,997,827.71
  5. Step 5: Solve for x
    x = 80,997,827.71/10,373.78
  6. Step 6: Final answer
    x = 7,807.94

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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.