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Finding the Fourth Proportional to 10,570.68, 14,586.96 and 5,854.80

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Solution

The fourth proportional to 10,570.68, 14,586.96 and 5,854.80 is: 8,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.68 : 14,586.96 = 5,854.80 : x
  2. Step 2: Convert to fraction form
    10,570.68/14,586.96 = 5,854.80/x
  3. Step 3: Cross multiply
    10,570.68x = 14,586.96 × 5,854.80
  4. Step 4: Simplify right side
    10,570.68x = 85,403,733.41
  5. Step 5: Solve for x
    x = 85,403,733.41/10,570.68
  6. Step 6: Final answer
    x = 8,079.30

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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.