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Finding the Fourth Proportional to 12,232.88, 16,875.92 and 7,262

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Solution

The fourth proportional to 12,232.88, 16,875.92 and 7,262 is: 10,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.88 : 16,875.92 = 7,262 : x
  2. Step 2: Convert to fraction form
    12,232.88/16,875.92 = 7,262/x
  3. Step 3: Cross multiply
    12,232.88x = 16,875.92 × 7,262
  4. Step 4: Simplify right side
    12,232.88x = 122,552,931.04
  5. Step 5: Solve for x
    x = 122,552,931.04/12,232.88
  6. Step 6: Final answer
    x = 10,018.32

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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.