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Finding the Fourth Proportional to 10,834.79, 14,950.89 and 7,434.71

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Solution

The fourth proportional to 10,834.79, 14,950.89 and 7,434.71 is: 10,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.79 : 14,950.89 = 7,434.71 : x
  2. Step 2: Convert to fraction form
    10,834.79/14,950.89 = 7,434.71/x
  3. Step 3: Cross multiply
    10,834.79x = 14,950.89 × 7,434.71
  4. Step 4: Simplify right side
    10,834.79x = 111,155,573.13
  5. Step 5: Solve for x
    x = 111,155,573.13/10,834.79
  6. Step 6: Final answer
    x = 10,259.14

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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.