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Finding the Fourth Proportional to 8,030.96, 12,045.76 and 2,484.08

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Solution

The fourth proportional to 8,030.96, 12,045.76 and 2,484.08 is: 3,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.96 : 12,045.76 = 2,484.08 : x
  2. Step 2: Convert to fraction form
    8,030.96/12,045.76 = 2,484.08/x
  3. Step 3: Cross multiply
    8,030.96x = 12,045.76 × 2,484.08
  4. Step 4: Simplify right side
    8,030.96x = 29,922,631.50
  5. Step 5: Solve for x
    x = 29,922,631.50/8,030.96
  6. Step 6: Final answer
    x = 3,725.91

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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.