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Finding the Fourth Proportional to 10,569.84, 14,587.81 and 6,093.51

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Solution

The fourth proportional to 10,569.84, 14,587.81 and 6,093.51 is: 8,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.84 : 14,587.81 = 6,093.51 : x
  2. Step 2: Convert to fraction form
    10,569.84/14,587.81 = 6,093.51/x
  3. Step 3: Cross multiply
    10,569.84x = 14,587.81 × 6,093.51
  4. Step 4: Simplify right side
    10,569.84x = 88,890,950.88
  5. Step 5: Solve for x
    x = 88,890,950.88/10,569.84
  6. Step 6: Final answer
    x = 8,409.87

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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.