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Finding the Fourth Proportional to 10,564.72, 14,578.83 and 6,089.13

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Solution

The fourth proportional to 10,564.72, 14,578.83 and 6,089.13 is: 8,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.72 : 14,578.83 = 6,089.13 : x
  2. Step 2: Convert to fraction form
    10,564.72/14,578.83 = 6,089.13/x
  3. Step 3: Cross multiply
    10,564.72x = 14,578.83 × 6,089.13
  4. Step 4: Simplify right side
    10,564.72x = 88,772,391.12
  5. Step 5: Solve for x
    x = 88,772,391.12/10,564.72
  6. Step 6: Final answer
    x = 8,402.72

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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.