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Finding the Fourth Proportional to 10,533.82, 15,788.13 and 4,903.90

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Solution

The fourth proportional to 10,533.82, 15,788.13 and 4,903.90 is: 7,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.82 : 15,788.13 = 4,903.90 : x
  2. Step 2: Convert to fraction form
    10,533.82/15,788.13 = 4,903.90/x
  3. Step 3: Cross multiply
    10,533.82x = 15,788.13 × 4,903.90
  4. Step 4: Simplify right side
    10,533.82x = 77,423,410.71
  5. Step 5: Solve for x
    x = 77,423,410.71/10,533.82
  6. Step 6: Final answer
    x = 7,349.98

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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.