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Finding the Fourth Proportional to 10,564.70, 14,579.64 and 6,088.10

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Solution

The fourth proportional to 10,564.70, 14,579.64 and 6,088.10 is: 8,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.70 : 14,579.64 = 6,088.10 : x
  2. Step 2: Convert to fraction form
    10,564.70/14,579.64 = 6,088.10/x
  3. Step 3: Cross multiply
    10,564.70x = 14,579.64 × 6,088.10
  4. Step 4: Simplify right side
    10,564.70x = 88,762,306.28
  5. Step 5: Solve for x
    x = 88,762,306.28/10,564.70
  6. Step 6: Final answer
    x = 8,401.78

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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.