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Finding the Fourth Proportional to 10,518.60, 14,515 and 5,802.91

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Solution

The fourth proportional to 10,518.60, 14,515 and 5,802.91 is: 8,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.60 : 14,515 = 5,802.91 : x
  2. Step 2: Convert to fraction form
    10,518.60/14,515 = 5,802.91/x
  3. Step 3: Cross multiply
    10,518.60x = 14,515 × 5,802.91
  4. Step 4: Simplify right side
    10,518.60x = 84,229,238.65
  5. Step 5: Solve for x
    x = 84,229,238.65/10,518.60
  6. Step 6: Final answer
    x = 8,007.65

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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.