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Finding the Fourth Proportional to 10,427.84, 14,357.76 and 8,852.48

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Solution

The fourth proportional to 10,427.84, 14,357.76 and 8,852.48 is: 12,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.84 : 14,357.76 = 8,852.48 : x
  2. Step 2: Convert to fraction form
    10,427.84/14,357.76 = 8,852.48/x
  3. Step 3: Cross multiply
    10,427.84x = 14,357.76 × 8,852.48
  4. Step 4: Simplify right side
    10,427.84x = 127,101,783.24
  5. Step 5: Solve for x
    x = 127,101,783.24/10,427.84
  6. Step 6: Final answer
    x = 12,188.70

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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.