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Finding the Fourth Proportional to 10,833.56, 14,952.23 and 7,009.90

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Solution

The fourth proportional to 10,833.56, 14,952.23 and 7,009.90 is: 9,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.56 : 14,952.23 = 7,009.90 : x
  2. Step 2: Convert to fraction form
    10,833.56/14,952.23 = 7,009.90/x
  3. Step 3: Cross multiply
    10,833.56x = 14,952.23 × 7,009.90
  4. Step 4: Simplify right side
    10,833.56x = 104,813,637.08
  5. Step 5: Solve for x
    x = 104,813,637.08/10,833.56
  6. Step 6: Final answer
    x = 9,674.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.