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Finding the Fourth Proportional to 10,669.32, 14,723.78 and 5,953.50

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Solution

The fourth proportional to 10,669.32, 14,723.78 and 5,953.50 is: 8,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.32 : 14,723.78 = 5,953.50 : x
  2. Step 2: Convert to fraction form
    10,669.32/14,723.78 = 5,953.50/x
  3. Step 3: Cross multiply
    10,669.32x = 14,723.78 × 5,953.50
  4. Step 4: Simplify right side
    10,669.32x = 87,657,994.46
  5. Step 5: Solve for x
    x = 87,657,994.46/10,669.32
  6. Step 6: Final answer
    x = 8,215.89

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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.