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Finding the Fourth Proportional to 10,807.60, 16,097.74 and 10,302

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Solution

The fourth proportional to 10,807.60, 16,097.74 and 10,302 is: 15,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.60 : 16,097.74 = 10,302 : x
  2. Step 2: Convert to fraction form
    10,807.60/16,097.74 = 10,302/x
  3. Step 3: Cross multiply
    10,807.60x = 16,097.74 × 10,302
  4. Step 4: Simplify right side
    10,807.60x = 165,838,917.48
  5. Step 5: Solve for x
    x = 165,838,917.48/10,807.60
  6. Step 6: Final answer
    x = 15,344.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.