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Finding the Fourth Proportional to 10,643.21, 14,693.54 and 6,395.32

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Solution

The fourth proportional to 10,643.21, 14,693.54 and 6,395.32 is: 8,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.21 : 14,693.54 = 6,395.32 : x
  2. Step 2: Convert to fraction form
    10,643.21/14,693.54 = 6,395.32/x
  3. Step 3: Cross multiply
    10,643.21x = 14,693.54 × 6,395.32
  4. Step 4: Simplify right side
    10,643.21x = 93,969,821.52
  5. Step 5: Solve for x
    x = 93,969,821.52/10,643.21
  6. Step 6: Final answer
    x = 8,829.08

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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.