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Finding the Fourth Proportional to 10,647.62, 14,693.72 and 5,802.32

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Solution

The fourth proportional to 10,647.62, 14,693.72 and 5,802.32 is: 8,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.62 : 14,693.72 = 5,802.32 : x
  2. Step 2: Convert to fraction form
    10,647.62/14,693.72 = 5,802.32/x
  3. Step 3: Cross multiply
    10,647.62x = 14,693.72 × 5,802.32
  4. Step 4: Simplify right side
    10,647.62x = 85,257,562.95
  5. Step 5: Solve for x
    x = 85,257,562.95/10,647.62
  6. Step 6: Final answer
    x = 8,007.20

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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.