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Finding the Fourth Proportional to 10,569.71, 14,585.82 and 6,093.65

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Solution

The fourth proportional to 10,569.71, 14,585.82 and 6,093.65 is: 8,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.71 : 14,585.82 = 6,093.65 : x
  2. Step 2: Convert to fraction form
    10,569.71/14,585.82 = 6,093.65/x
  3. Step 3: Cross multiply
    10,569.71x = 14,585.82 × 6,093.65
  4. Step 4: Simplify right side
    10,569.71x = 88,880,895.66
  5. Step 5: Solve for x
    x = 88,880,895.66/10,569.71
  6. Step 6: Final answer
    x = 8,409.02

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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.