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Finding the Fourth Proportional to 10,316.94, 15,465.80 and 5,380.70

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Solution

The fourth proportional to 10,316.94, 15,465.80 and 5,380.70 is: 8,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.94 : 15,465.80 = 5,380.70 : x
  2. Step 2: Convert to fraction form
    10,316.94/15,465.80 = 5,380.70/x
  3. Step 3: Cross multiply
    10,316.94x = 15,465.80 × 5,380.70
  4. Step 4: Simplify right side
    10,316.94x = 83,216,830.06
  5. Step 5: Solve for x
    x = 83,216,830.06/10,316.94
  6. Step 6: Final answer
    x = 8,066.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.