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Finding the Fourth Proportional to 10,577.66, 14,578.52 and 9,355.64

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Solution

The fourth proportional to 10,577.66, 14,578.52 and 9,355.64 is: 12,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.66 : 14,578.52 = 9,355.64 : x
  2. Step 2: Convert to fraction form
    10,577.66/14,578.52 = 9,355.64/x
  3. Step 3: Cross multiply
    10,577.66x = 14,578.52 × 9,355.64
  4. Step 4: Simplify right side
    10,577.66x = 136,391,265.18
  5. Step 5: Solve for x
    x = 136,391,265.18/10,577.66
  6. Step 6: Final answer
    x = 12,894.28

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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.