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Finding the Fourth Proportional to 10,809.25, 14,915.68 and 7,978.16

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Solution

The fourth proportional to 10,809.25, 14,915.68 and 7,978.16 is: 11,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.25 : 14,915.68 = 7,978.16 : x
  2. Step 2: Convert to fraction form
    10,809.25/14,915.68 = 7,978.16/x
  3. Step 3: Cross multiply
    10,809.25x = 14,915.68 × 7,978.16
  4. Step 4: Simplify right side
    10,809.25x = 118,999,698.89
  5. Step 5: Solve for x
    x = 118,999,698.89/10,809.25
  6. Step 6: Final answer
    x = 11,009.06

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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.