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Finding the Fourth Proportional to 10,356.68, 15,526.50 and 4,114.01

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Solution

The fourth proportional to 10,356.68, 15,526.50 and 4,114.01 is: 6,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.68 : 15,526.50 = 4,114.01 : x
  2. Step 2: Convert to fraction form
    10,356.68/15,526.50 = 4,114.01/x
  3. Step 3: Cross multiply
    10,356.68x = 15,526.50 × 4,114.01
  4. Step 4: Simplify right side
    10,356.68x = 63,876,098.63
  5. Step 5: Solve for x
    x = 63,876,098.63/10,356.68
  6. Step 6: Final answer
    x = 6,167.63

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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.