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Finding the Fourth Proportional to 11,653.23, 16,076.33 and 7,875.01

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Solution

The fourth proportional to 11,653.23, 16,076.33 and 7,875.01 is: 10,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.23 : 16,076.33 = 7,875.01 : x
  2. Step 2: Convert to fraction form
    11,653.23/16,076.33 = 7,875.01/x
  3. Step 3: Cross multiply
    11,653.23x = 16,076.33 × 7,875.01
  4. Step 4: Simplify right side
    11,653.23x = 126,601,259.51
  5. Step 5: Solve for x
    x = 126,601,259.51/11,653.23
  6. Step 6: Final answer
    x = 10,864.05

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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.