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Finding the Fourth Proportional to 10,708.83, 14,770.02 and 7,117.35

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Solution

The fourth proportional to 10,708.83, 14,770.02 and 7,117.35 is: 9,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.83 : 14,770.02 = 7,117.35 : x
  2. Step 2: Convert to fraction form
    10,708.83/14,770.02 = 7,117.35/x
  3. Step 3: Cross multiply
    10,708.83x = 14,770.02 × 7,117.35
  4. Step 4: Simplify right side
    10,708.83x = 105,123,401.85
  5. Step 5: Solve for x
    x = 105,123,401.85/10,708.83
  6. Step 6: Final answer
    x = 9,816.52

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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.