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Finding the Fourth Proportional to 10,567.84, 14,583.84 and 5,852.26

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Solution

The fourth proportional to 10,567.84, 14,583.84 and 5,852.26 is: 8,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.84 : 14,583.84 = 5,852.26 : x
  2. Step 2: Convert to fraction form
    10,567.84/14,583.84 = 5,852.26/x
  3. Step 3: Cross multiply
    10,567.84x = 14,583.84 × 5,852.26
  4. Step 4: Simplify right side
    10,567.84x = 85,348,423.48
  5. Step 5: Solve for x
    x = 85,348,423.48/10,567.84
  6. Step 6: Final answer
    x = 8,076.24

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