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Finding the Fourth Proportional to 10,364, 14,302.38 and 5,648.60

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Solution

The fourth proportional to 10,364, 14,302.38 and 5,648.60 is: 7,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364 : 14,302.38 = 5,648.60 : x
  2. Step 2: Convert to fraction form
    10,364/14,302.38 = 5,648.60/x
  3. Step 3: Cross multiply
    10,364x = 14,302.38 × 5,648.60
  4. Step 4: Simplify right side
    10,364x = 80,788,423.67
  5. Step 5: Solve for x
    x = 80,788,423.67/10,364
  6. Step 6: Final answer
    x = 7,795.10

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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.