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Finding the Fourth Proportional to 10,293.44, 15,440.16 and 4,136

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Solution

The fourth proportional to 10,293.44, 15,440.16 and 4,136 is: 6,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.44 : 15,440.16 = 4,136 : x
  2. Step 2: Convert to fraction form
    10,293.44/15,440.16 = 4,136/x
  3. Step 3: Cross multiply
    10,293.44x = 15,440.16 × 4,136
  4. Step 4: Simplify right side
    10,293.44x = 63,860,501.76
  5. Step 5: Solve for x
    x = 63,860,501.76/10,293.44
  6. Step 6: Final answer
    x = 6,204.00

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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.