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Finding the Fourth Proportional to 11,870.40, 16,384.56 and 8,334.48

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Solution

The fourth proportional to 11,870.40, 16,384.56 and 8,334.48 is: 11,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.40 : 16,384.56 = 8,334.48 : x
  2. Step 2: Convert to fraction form
    11,870.40/16,384.56 = 8,334.48/x
  3. Step 3: Cross multiply
    11,870.40x = 16,384.56 × 8,334.48
  4. Step 4: Simplify right side
    11,870.40x = 136,556,787.63
  5. Step 5: Solve for x
    x = 136,556,787.63/11,870.40
  6. Step 6: Final answer
    x = 11,503.98

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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.