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Finding the Fourth Proportional to 10,340.64, 14,270.40 and 5,624.64

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Solution

The fourth proportional to 10,340.64, 14,270.40 and 5,624.64 is: 7,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.64 : 14,270.40 = 5,624.64 : x
  2. Step 2: Convert to fraction form
    10,340.64/14,270.40 = 5,624.64/x
  3. Step 3: Cross multiply
    10,340.64x = 14,270.40 × 5,624.64
  4. Step 4: Simplify right side
    10,340.64x = 80,265,862.66
  5. Step 5: Solve for x
    x = 80,265,862.66/10,340.64
  6. Step 6: Final answer
    x = 7,762.18

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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.