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Finding the Fourth Proportional to 11,886.98, 16,411.50 and 7,639.94

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Solution

The fourth proportional to 11,886.98, 16,411.50 and 7,639.94 is: 10,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.98 : 16,411.50 = 7,639.94 : x
  2. Step 2: Convert to fraction form
    11,886.98/16,411.50 = 7,639.94/x
  3. Step 3: Cross multiply
    11,886.98x = 16,411.50 × 7,639.94
  4. Step 4: Simplify right side
    11,886.98x = 125,382,875.31
  5. Step 5: Solve for x
    x = 125,382,875.31/11,886.98
  6. Step 6: Final answer
    x = 10,547.92

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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.