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Finding the Fourth Proportional to 11,853.34, 16,356.22 and 6,547.84

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Solution

The fourth proportional to 11,853.34, 16,356.22 and 6,547.84 is: 9,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.34 : 16,356.22 = 6,547.84 : x
  2. Step 2: Convert to fraction form
    11,853.34/16,356.22 = 6,547.84/x
  3. Step 3: Cross multiply
    11,853.34x = 16,356.22 × 6,547.84
  4. Step 4: Simplify right side
    11,853.34x = 107,097,854.30
  5. Step 5: Solve for x
    x = 107,097,854.30/11,853.34
  6. Step 6: Final answer
    x = 9,035.25

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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.