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Finding the Fourth Proportional to 10,720.84, 15,934.25 and 10,429.96

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Solution

The fourth proportional to 10,720.84, 15,934.25 and 10,429.96 is: 15,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.84 : 15,934.25 = 10,429.96 : x
  2. Step 2: Convert to fraction form
    10,720.84/15,934.25 = 10,429.96/x
  3. Step 3: Cross multiply
    10,720.84x = 15,934.25 × 10,429.96
  4. Step 4: Simplify right side
    10,720.84x = 166,193,590.13
  5. Step 5: Solve for x
    x = 166,193,590.13/10,720.84
  6. Step 6: Final answer
    x = 15,501.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.