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Finding the Fourth Proportional to 10,711.62, 14,701.86 and 9,715.32

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Solution

The fourth proportional to 10,711.62, 14,701.86 and 9,715.32 is: 13,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.62 : 14,701.86 = 9,715.32 : x
  2. Step 2: Convert to fraction form
    10,711.62/14,701.86 = 9,715.32/x
  3. Step 3: Cross multiply
    10,711.62x = 14,701.86 × 9,715.32
  4. Step 4: Simplify right side
    10,711.62x = 142,833,274.50
  5. Step 5: Solve for x
    x = 142,833,274.50/10,711.62
  6. Step 6: Final answer
    x = 13,334.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.