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Finding the Fourth Proportional to 10,570.02, 14,586.82 and 6,093

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Solution

The fourth proportional to 10,570.02, 14,586.82 and 6,093 is: 8,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.02 : 14,586.82 = 6,093 : x
  2. Step 2: Convert to fraction form
    10,570.02/14,586.82 = 6,093/x
  3. Step 3: Cross multiply
    10,570.02x = 14,586.82 × 6,093
  4. Step 4: Simplify right side
    10,570.02x = 88,877,494.26
  5. Step 5: Solve for x
    x = 88,877,494.26/10,570.02
  6. Step 6: Final answer
    x = 8,408.45

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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.