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Finding the Fourth Proportional to 7,076.48, 9,758.88 and 4,556.16

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Solution

The fourth proportional to 7,076.48, 9,758.88 and 4,556.16 is: 6,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.48 : 9,758.88 = 4,556.16 : x
  2. Step 2: Convert to fraction form
    7,076.48/9,758.88 = 4,556.16/x
  3. Step 3: Cross multiply
    7,076.48x = 9,758.88 × 4,556.16
  4. Step 4: Simplify right side
    7,076.48x = 44,463,018.70
  5. Step 5: Solve for x
    x = 44,463,018.70/7,076.48
  6. Step 6: Final answer
    x = 6,283.21

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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.