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Finding the Fourth Proportional to 10,182.93, 14,053.31 and 5,706.62

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Solution

The fourth proportional to 10,182.93, 14,053.31 and 5,706.62 is: 7,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.93 : 14,053.31 = 5,706.62 : x
  2. Step 2: Convert to fraction form
    10,182.93/14,053.31 = 5,706.62/x
  3. Step 3: Cross multiply
    10,182.93x = 14,053.31 × 5,706.62
  4. Step 4: Simplify right side
    10,182.93x = 80,196,899.91
  5. Step 5: Solve for x
    x = 80,196,899.91/10,182.93
  6. Step 6: Final answer
    x = 7,875.62

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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.