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Finding the Fourth Proportional to 7,073.76, 10,610.64 and 4,332

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Solution

The fourth proportional to 7,073.76, 10,610.64 and 4,332 is: 6,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.76 : 10,610.64 = 4,332 : x
  2. Step 2: Convert to fraction form
    7,073.76/10,610.64 = 4,332/x
  3. Step 3: Cross multiply
    7,073.76x = 10,610.64 × 4,332
  4. Step 4: Simplify right side
    7,073.76x = 45,965,292.48
  5. Step 5: Solve for x
    x = 45,965,292.48/7,073.76
  6. Step 6: Final answer
    x = 6,498.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.