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Finding the Fourth Proportional to 7,712.47, 10,643.16 and 4,175.67

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Solution

The fourth proportional to 7,712.47, 10,643.16 and 4,175.67 is: 5,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.47 : 10,643.16 = 4,175.67 : x
  2. Step 2: Convert to fraction form
    7,712.47/10,643.16 = 4,175.67/x
  3. Step 3: Cross multiply
    7,712.47x = 10,643.16 × 4,175.67
  4. Step 4: Simplify right side
    7,712.47x = 44,442,323.92
  5. Step 5: Solve for x
    x = 44,442,323.92/7,712.47
  6. Step 6: Final answer
    x = 5,762.40

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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.