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Finding the Fourth Proportional to 10,384.74, 14,332.50 and 6,353.88

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Solution

The fourth proportional to 10,384.74, 14,332.50 and 6,353.88 is: 8,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.74 : 14,332.50 = 6,353.88 : x
  2. Step 2: Convert to fraction form
    10,384.74/14,332.50 = 6,353.88/x
  3. Step 3: Cross multiply
    10,384.74x = 14,332.50 × 6,353.88
  4. Step 4: Simplify right side
    10,384.74x = 91,066,985.10
  5. Step 5: Solve for x
    x = 91,066,985.10/10,384.74
  6. Step 6: Final answer
    x = 8,769.31

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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.