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Finding the Fourth Proportional to 10,599.66, 15,897.33 and 4,023.54

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Solution

The fourth proportional to 10,599.66, 15,897.33 and 4,023.54 is: 6,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.66 : 15,897.33 = 4,023.54 : x
  2. Step 2: Convert to fraction form
    10,599.66/15,897.33 = 4,023.54/x
  3. Step 3: Cross multiply
    10,599.66x = 15,897.33 × 4,023.54
  4. Step 4: Simplify right side
    10,599.66x = 63,963,543.15
  5. Step 5: Solve for x
    x = 63,963,543.15/10,599.66
  6. Step 6: Final answer
    x = 6,034.49

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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.