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Finding the Fourth Proportional to 8,564.96, 12,841.77 and 4,868.93

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Solution

The fourth proportional to 8,564.96, 12,841.77 and 4,868.93 is: 7,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.96 : 12,841.77 = 4,868.93 : x
  2. Step 2: Convert to fraction form
    8,564.96/12,841.77 = 4,868.93/x
  3. Step 3: Cross multiply
    8,564.96x = 12,841.77 × 4,868.93
  4. Step 4: Simplify right side
    8,564.96x = 62,525,679.21
  5. Step 5: Solve for x
    x = 62,525,679.21/8,564.96
  6. Step 6: Final answer
    x = 7,300.17

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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.