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Finding the Fourth Proportional to 7,712.76, 10,643.66 and 4,176

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Solution

The fourth proportional to 7,712.76, 10,643.66 and 4,176 is: 5,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.76 : 10,643.66 = 4,176 : x
  2. Step 2: Convert to fraction form
    7,712.76/10,643.66 = 4,176/x
  3. Step 3: Cross multiply
    7,712.76x = 10,643.66 × 4,176
  4. Step 4: Simplify right side
    7,712.76x = 44,447,924.16
  5. Step 5: Solve for x
    x = 44,447,924.16/7,712.76
  6. Step 6: Final answer
    x = 5,762.91

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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.