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Finding the Fourth Proportional to 8,547.50, 12,813.04 and 6,040.86

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Solution

The fourth proportional to 8,547.50, 12,813.04 and 6,040.86 is: 9,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.50 : 12,813.04 = 6,040.86 : x
  2. Step 2: Convert to fraction form
    8,547.50/12,813.04 = 6,040.86/x
  3. Step 3: Cross multiply
    8,547.50x = 12,813.04 × 6,040.86
  4. Step 4: Simplify right side
    8,547.50x = 77,401,819.44
  5. Step 5: Solve for x
    x = 77,401,819.44/8,547.50
  6. Step 6: Final answer
    x = 9,055.50

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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.