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Finding the Fourth Proportional to 10,532.49, 14,534.82 and 6,056.34

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Solution

The fourth proportional to 10,532.49, 14,534.82 and 6,056.34 is: 8,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.49 : 14,534.82 = 6,056.34 : x
  2. Step 2: Convert to fraction form
    10,532.49/14,534.82 = 6,056.34/x
  3. Step 3: Cross multiply
    10,532.49x = 14,534.82 × 6,056.34
  4. Step 4: Simplify right side
    10,532.49x = 88,027,811.76
  5. Step 5: Solve for x
    x = 88,027,811.76/10,532.49
  6. Step 6: Final answer
    x = 8,357.74

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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.