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Finding the Fourth Proportional to 10,153.74, 14,011 and 5,904.21

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Solution

The fourth proportional to 10,153.74, 14,011 and 5,904.21 is: 8,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.74 : 14,011 = 5,904.21 : x
  2. Step 2: Convert to fraction form
    10,153.74/14,011 = 5,904.21/x
  3. Step 3: Cross multiply
    10,153.74x = 14,011 × 5,904.21
  4. Step 4: Simplify right side
    10,153.74x = 82,723,886.31
  5. Step 5: Solve for x
    x = 82,723,886.31/10,153.74
  6. Step 6: Final answer
    x = 8,147.13

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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.