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Finding the Fourth Proportional to 7,510.49, 10,364.52 and 4,107.52

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Solution

The fourth proportional to 7,510.49, 10,364.52 and 4,107.52 is: 5,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.49 : 10,364.52 = 4,107.52 : x
  2. Step 2: Convert to fraction form
    7,510.49/10,364.52 = 4,107.52/x
  3. Step 3: Cross multiply
    7,510.49x = 10,364.52 × 4,107.52
  4. Step 4: Simplify right side
    7,510.49x = 42,572,421.37
  5. Step 5: Solve for x
    x = 42,572,421.37/7,510.49
  6. Step 6: Final answer
    x = 5,668.40

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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.