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Finding the Fourth Proportional to 11,852.94, 16,356.74 and 6,547.64

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Solution

The fourth proportional to 11,852.94, 16,356.74 and 6,547.64 is: 9,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.94 : 16,356.74 = 6,547.64 : x
  2. Step 2: Convert to fraction form
    11,852.94/16,356.74 = 6,547.64/x
  3. Step 3: Cross multiply
    11,852.94x = 16,356.74 × 6,547.64
  4. Step 4: Simplify right side
    11,852.94x = 107,098,045.09
  5. Step 5: Solve for x
    x = 107,098,045.09/11,852.94
  6. Step 6: Final answer
    x = 9,035.57

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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.