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Finding the Fourth Proportional to 10,564.14, 14,554 and 8,792.66

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Solution

The fourth proportional to 10,564.14, 14,554 and 8,792.66 is: 12,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.14 : 14,554 = 8,792.66 : x
  2. Step 2: Convert to fraction form
    10,564.14/14,554 = 8,792.66/x
  3. Step 3: Cross multiply
    10,564.14x = 14,554 × 8,792.66
  4. Step 4: Simplify right side
    10,564.14x = 127,968,373.64
  5. Step 5: Solve for x
    x = 127,968,373.64/10,564.14
  6. Step 6: Final answer
    x = 12,113.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.