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Finding the Fourth Proportional to 10,478.93, 15,728.73 and 7,697.79

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Solution

The fourth proportional to 10,478.93, 15,728.73 and 7,697.79 is: 11,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.93 : 15,728.73 = 7,697.79 : x
  2. Step 2: Convert to fraction form
    10,478.93/15,728.73 = 7,697.79/x
  3. Step 3: Cross multiply
    10,478.93x = 15,728.73 × 7,697.79
  4. Step 4: Simplify right side
    10,478.93x = 121,076,460.51
  5. Step 5: Solve for x
    x = 121,076,460.51/10,478.93
  6. Step 6: Final answer
    x = 11,554.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.