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Finding the Fourth Proportional to 10,148.15, 14,005.08 and 5,672.22

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Solution

The fourth proportional to 10,148.15, 14,005.08 and 5,672.22 is: 7,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.15 : 14,005.08 = 5,672.22 : x
  2. Step 2: Convert to fraction form
    10,148.15/14,005.08 = 5,672.22/x
  3. Step 3: Cross multiply
    10,148.15x = 14,005.08 × 5,672.22
  4. Step 4: Simplify right side
    10,148.15x = 79,439,894.88
  5. Step 5: Solve for x
    x = 79,439,894.88/10,148.15
  6. Step 6: Final answer
    x = 7,828.02

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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.