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Finding the Fourth Proportional to 10,153.71, 14,012.66 and 5,677.45

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Solution

The fourth proportional to 10,153.71, 14,012.66 and 5,677.45 is: 7,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.71 : 14,012.66 = 5,677.45 : x
  2. Step 2: Convert to fraction form
    10,153.71/14,012.66 = 5,677.45/x
  3. Step 3: Cross multiply
    10,153.71x = 14,012.66 × 5,677.45
  4. Step 4: Simplify right side
    10,153.71x = 79,556,155.68
  5. Step 5: Solve for x
    x = 79,556,155.68/10,153.71
  6. Step 6: Final answer
    x = 7,835.18

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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.