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Finding the Fourth Proportional to 10,725.74, 14,802.47 and 6,011.02

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Solution

The fourth proportional to 10,725.74, 14,802.47 and 6,011.02 is: 8,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.74 : 14,802.47 = 6,011.02 : x
  2. Step 2: Convert to fraction form
    10,725.74/14,802.47 = 6,011.02/x
  3. Step 3: Cross multiply
    10,725.74x = 14,802.47 × 6,011.02
  4. Step 4: Simplify right side
    10,725.74x = 88,977,943.22
  5. Step 5: Solve for x
    x = 88,977,943.22/10,725.74
  6. Step 6: Final answer
    x = 8,295.74

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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.