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Finding the Fourth Proportional to 10,505.63, 14,497.58 and 5,725.62

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Solution

The fourth proportional to 10,505.63, 14,497.58 and 5,725.62 is: 7,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.63 : 14,497.58 = 5,725.62 : x
  2. Step 2: Convert to fraction form
    10,505.63/14,497.58 = 5,725.62/x
  3. Step 3: Cross multiply
    10,505.63x = 14,497.58 × 5,725.62
  4. Step 4: Simplify right side
    10,505.63x = 83,007,648.31
  5. Step 5: Solve for x
    x = 83,007,648.31/10,505.63
  6. Step 6: Final answer
    x = 7,901.25

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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.