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Finding the Fourth Proportional to 10,476.49, 15,725.06 and 7,695.36

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Solution

The fourth proportional to 10,476.49, 15,725.06 and 7,695.36 is: 11,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.49 : 15,725.06 = 7,695.36 : x
  2. Step 2: Convert to fraction form
    10,476.49/15,725.06 = 7,695.36/x
  3. Step 3: Cross multiply
    10,476.49x = 15,725.06 × 7,695.36
  4. Step 4: Simplify right side
    10,476.49x = 121,009,972.42
  5. Step 5: Solve for x
    x = 121,009,972.42/10,476.49
  6. Step 6: Final answer
    x = 11,550.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.