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Finding the Fourth Proportional to 10,710.40, 14,785.72 and 6,733.71

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Solution

The fourth proportional to 10,710.40, 14,785.72 and 6,733.71 is: 9,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.40 : 14,785.72 = 6,733.71 : x
  2. Step 2: Convert to fraction form
    10,710.40/14,785.72 = 6,733.71/x
  3. Step 3: Cross multiply
    10,710.40x = 14,785.72 × 6,733.71
  4. Step 4: Simplify right side
    10,710.40x = 99,562,750.62
  5. Step 5: Solve for x
    x = 99,562,750.62/10,710.40
  6. Step 6: Final answer
    x = 9,295.89

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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.