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Finding the Fourth Proportional to 6,556.53, 9,040.18 and 5,357.10

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Solution

The fourth proportional to 6,556.53, 9,040.18 and 5,357.10 is: 7,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.53 : 9,040.18 = 5,357.10 : x
  2. Step 2: Convert to fraction form
    6,556.53/9,040.18 = 5,357.10/x
  3. Step 3: Cross multiply
    6,556.53x = 9,040.18 × 5,357.10
  4. Step 4: Simplify right side
    6,556.53x = 48,429,148.28
  5. Step 5: Solve for x
    x = 48,429,148.28/6,556.53
  6. Step 6: Final answer
    x = 7,386.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.