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Finding the Fourth Proportional to 11,653.57, 16,079.71 and 6,875.02

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Solution

The fourth proportional to 11,653.57, 16,079.71 and 6,875.02 is: 9,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.57 : 16,079.71 = 6,875.02 : x
  2. Step 2: Convert to fraction form
    11,653.57/16,079.71 = 6,875.02/x
  3. Step 3: Cross multiply
    11,653.57x = 16,079.71 × 6,875.02
  4. Step 4: Simplify right side
    11,653.57x = 110,548,327.84
  5. Step 5: Solve for x
    x = 110,548,327.84/11,653.57
  6. Step 6: Final answer
    x = 9,486.22

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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.