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Finding the Fourth Proportional to 8,477.74, 12,711.74 and 7,988.50

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Solution

The fourth proportional to 8,477.74, 12,711.74 and 7,988.50 is: 11,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.74 : 12,711.74 = 7,988.50 : x
  2. Step 2: Convert to fraction form
    8,477.74/12,711.74 = 7,988.50/x
  3. Step 3: Cross multiply
    8,477.74x = 12,711.74 × 7,988.50
  4. Step 4: Simplify right side
    8,477.74x = 101,547,734.99
  5. Step 5: Solve for x
    x = 101,547,734.99/8,477.74
  6. Step 6: Final answer
    x = 11,978.16

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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.