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Finding the Fourth Proportional to 10,562.96, 14,578.42 and 6,085.84

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Solution

The fourth proportional to 10,562.96, 14,578.42 and 6,085.84 is: 8,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.96 : 14,578.42 = 6,085.84 : x
  2. Step 2: Convert to fraction form
    10,562.96/14,578.42 = 6,085.84/x
  3. Step 3: Cross multiply
    10,562.96x = 14,578.42 × 6,085.84
  4. Step 4: Simplify right side
    10,562.96x = 88,721,931.57
  5. Step 5: Solve for x
    x = 88,721,931.57/10,562.96
  6. Step 6: Final answer
    x = 8,399.34

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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.