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Finding the Fourth Proportional to 10,570.69, 14,586.24 and 5,855.01

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Solution

The fourth proportional to 10,570.69, 14,586.24 and 5,855.01 is: 8,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.69 : 14,586.24 = 5,855.01 : x
  2. Step 2: Convert to fraction form
    10,570.69/14,586.24 = 5,855.01/x
  3. Step 3: Cross multiply
    10,570.69x = 14,586.24 × 5,855.01
  4. Step 4: Simplify right side
    10,570.69x = 85,402,581.06
  5. Step 5: Solve for x
    x = 85,402,581.06/10,570.69
  6. Step 6: Final answer
    x = 8,079.19

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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.