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Finding the Fourth Proportional to 10,518.48, 14,515.54 and 5,802.74

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Solution

The fourth proportional to 10,518.48, 14,515.54 and 5,802.74 is: 8,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.48 : 14,515.54 = 5,802.74 : x
  2. Step 2: Convert to fraction form
    10,518.48/14,515.54 = 5,802.74/x
  3. Step 3: Cross multiply
    10,518.48x = 14,515.54 × 5,802.74
  4. Step 4: Simplify right side
    10,518.48x = 84,229,904.58
  5. Step 5: Solve for x
    x = 84,229,904.58/10,518.48
  6. Step 6: Final answer
    x = 8,007.80

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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.