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Finding the Fourth Proportional to 10,214.65, 14,099.94 and 7,703.95

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Solution

The fourth proportional to 10,214.65, 14,099.94 and 7,703.95 is: 10,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.65 : 14,099.94 = 7,703.95 : x
  2. Step 2: Convert to fraction form
    10,214.65/14,099.94 = 7,703.95/x
  3. Step 3: Cross multiply
    10,214.65x = 14,099.94 × 7,703.95
  4. Step 4: Simplify right side
    10,214.65x = 108,625,232.76
  5. Step 5: Solve for x
    x = 108,625,232.76/10,214.65
  6. Step 6: Final answer
    x = 10,634.26

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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.