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Finding the Fourth Proportional to 10,795.64, 14,897.16 and 6,079

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Solution

The fourth proportional to 10,795.64, 14,897.16 and 6,079 is: 8,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.64 : 14,897.16 = 6,079 : x
  2. Step 2: Convert to fraction form
    10,795.64/14,897.16 = 6,079/x
  3. Step 3: Cross multiply
    10,795.64x = 14,897.16 × 6,079
  4. Step 4: Simplify right side
    10,795.64x = 90,559,835.64
  5. Step 5: Solve for x
    x = 90,559,835.64/10,795.64
  6. Step 6: Final answer
    x = 8,388.56

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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.