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Finding the Fourth Proportional to 12,026.63, 16,598.57 and 7,310

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Solution

The fourth proportional to 12,026.63, 16,598.57 and 7,310 is: 10,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.63 : 16,598.57 = 7,310 : x
  2. Step 2: Convert to fraction form
    12,026.63/16,598.57 = 7,310/x
  3. Step 3: Cross multiply
    12,026.63x = 16,598.57 × 7,310
  4. Step 4: Simplify right side
    12,026.63x = 121,335,546.70
  5. Step 5: Solve for x
    x = 121,335,546.70/12,026.63
  6. Step 6: Final answer
    x = 10,088.91

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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.