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Finding the Fourth Proportional to 7,577.74, 10,459.64 and 6,160.29

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Solution

The fourth proportional to 7,577.74, 10,459.64 and 6,160.29 is: 8,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.74 : 10,459.64 = 6,160.29 : x
  2. Step 2: Convert to fraction form
    7,577.74/10,459.64 = 6,160.29/x
  3. Step 3: Cross multiply
    7,577.74x = 10,459.64 × 6,160.29
  4. Step 4: Simplify right side
    7,577.74x = 64,434,415.70
  5. Step 5: Solve for x
    x = 64,434,415.70/7,577.74
  6. Step 6: Final answer
    x = 8,503.12

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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.