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Finding the Fourth Proportional to 7,051.47, 10,556.45 and 5,210.80

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Solution

The fourth proportional to 7,051.47, 10,556.45 and 5,210.80 is: 7,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.47 : 10,556.45 = 5,210.80 : x
  2. Step 2: Convert to fraction form
    7,051.47/10,556.45 = 5,210.80/x
  3. Step 3: Cross multiply
    7,051.47x = 10,556.45 × 5,210.80
  4. Step 4: Simplify right side
    7,051.47x = 55,007,531.41
  5. Step 5: Solve for x
    x = 55,007,531.41/7,051.47
  6. Step 6: Final answer
    x = 7,800.86

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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.