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Finding the Fourth Proportional to 10,533.70, 15,800.82 and 4,985.74

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Solution

The fourth proportional to 10,533.70, 15,800.82 and 4,985.74 is: 7,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.70 : 15,800.82 = 4,985.74 : x
  2. Step 2: Convert to fraction form
    10,533.70/15,800.82 = 4,985.74/x
  3. Step 3: Cross multiply
    10,533.70x = 15,800.82 × 4,985.74
  4. Step 4: Simplify right side
    10,533.70x = 78,778,780.31
  5. Step 5: Solve for x
    x = 78,778,780.31/10,533.70
  6. Step 6: Final answer
    x = 7,478.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.