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Finding the Fourth Proportional to 10,317.66, 14,239.01 and 5,841.60

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Solution

The fourth proportional to 10,317.66, 14,239.01 and 5,841.60 is: 8,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.66 : 14,239.01 = 5,841.60 : x
  2. Step 2: Convert to fraction form
    10,317.66/14,239.01 = 5,841.60/x
  3. Step 3: Cross multiply
    10,317.66x = 14,239.01 × 5,841.60
  4. Step 4: Simplify right side
    10,317.66x = 83,178,600.82
  5. Step 5: Solve for x
    x = 83,178,600.82/10,317.66
  6. Step 6: Final answer
    x = 8,061.77

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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.