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Finding the Fourth Proportional to 7,656.12, 10,564.02 and 4,860

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Solution

The fourth proportional to 7,656.12, 10,564.02 and 4,860 is: 6,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.12 : 10,564.02 = 4,860 : x
  2. Step 2: Convert to fraction form
    7,656.12/10,564.02 = 4,860/x
  3. Step 3: Cross multiply
    7,656.12x = 10,564.02 × 4,860
  4. Step 4: Simplify right side
    7,656.12x = 51,341,137.20
  5. Step 5: Solve for x
    x = 51,341,137.20/7,656.12
  6. Step 6: Final answer
    x = 6,705.90

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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.