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Finding the Fourth Proportional to 10,148.84, 14,005.26 and 5,672.66

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Solution

The fourth proportional to 10,148.84, 14,005.26 and 5,672.66 is: 7,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.84 : 14,005.26 = 5,672.66 : x
  2. Step 2: Convert to fraction form
    10,148.84/14,005.26 = 5,672.66/x
  3. Step 3: Cross multiply
    10,148.84x = 14,005.26 × 5,672.66
  4. Step 4: Simplify right side
    10,148.84x = 79,447,078.19
  5. Step 5: Solve for x
    x = 79,447,078.19/10,148.84
  6. Step 6: Final answer
    x = 7,828.19

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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.