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Finding the Fourth Proportional to 7,669.64, 10,585.04 and 4,312.60

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Solution

The fourth proportional to 7,669.64, 10,585.04 and 4,312.60 is: 5,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.64 : 10,585.04 = 4,312.60 : x
  2. Step 2: Convert to fraction form
    7,669.64/10,585.04 = 4,312.60/x
  3. Step 3: Cross multiply
    7,669.64x = 10,585.04 × 4,312.60
  4. Step 4: Simplify right side
    7,669.64x = 45,649,043.50
  5. Step 5: Solve for x
    x = 45,649,043.50/7,669.64
  6. Step 6: Final answer
    x = 5,951.91

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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.