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Finding the Fourth Proportional to 10,802.16, 14,907.48 and 6,086.64

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Solution

The fourth proportional to 10,802.16, 14,907.48 and 6,086.64 is: 8,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.16 : 14,907.48 = 6,086.64 : x
  2. Step 2: Convert to fraction form
    10,802.16/14,907.48 = 6,086.64/x
  3. Step 3: Cross multiply
    10,802.16x = 14,907.48 × 6,086.64
  4. Step 4: Simplify right side
    10,802.16x = 90,736,464.07
  5. Step 5: Solve for x
    x = 90,736,464.07/10,802.16
  6. Step 6: Final answer
    x = 8,399.84

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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.