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Finding the Fourth Proportional to 12,037.32, 18,055.98 and 5,877

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Solution

The fourth proportional to 12,037.32, 18,055.98 and 5,877 is: 8,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.32 : 18,055.98 = 5,877 : x
  2. Step 2: Convert to fraction form
    12,037.32/18,055.98 = 5,877/x
  3. Step 3: Cross multiply
    12,037.32x = 18,055.98 × 5,877
  4. Step 4: Simplify right side
    12,037.32x = 106,114,994.46
  5. Step 5: Solve for x
    x = 106,114,994.46/12,037.32
  6. Step 6: Final answer
    x = 8,815.50

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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.