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Finding the Fourth Proportional to 10,713.66, 16,042.80 and 7,392.14

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Solution

The fourth proportional to 10,713.66, 16,042.80 and 7,392.14 is: 11,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.66 : 16,042.80 = 7,392.14 : x
  2. Step 2: Convert to fraction form
    10,713.66/16,042.80 = 7,392.14/x
  3. Step 3: Cross multiply
    10,713.66x = 16,042.80 × 7,392.14
  4. Step 4: Simplify right side
    10,713.66x = 118,590,623.59
  5. Step 5: Solve for x
    x = 118,590,623.59/10,713.66
  6. Step 6: Final answer
    x = 11,069.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.