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Finding the Fourth Proportional to 10,134, 13,984.65 and 5,657.63

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Solution

The fourth proportional to 10,134, 13,984.65 and 5,657.63 is: 7,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 13,984.65 = 5,657.63 : x
  2. Step 2: Convert to fraction form
    10,134/13,984.65 = 5,657.63/x
  3. Step 3: Cross multiply
    10,134x = 13,984.65 × 5,657.63
  4. Step 4: Simplify right side
    10,134x = 79,119,905.46
  5. Step 5: Solve for x
    x = 79,119,905.46/10,134
  6. Step 6: Final answer
    x = 7,807.37

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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.