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Finding the Fourth Proportional to 10,486.02, 14,470.20 and 5,770.20

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Solution

The fourth proportional to 10,486.02, 14,470.20 and 5,770.20 is: 7,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.02 : 14,470.20 = 5,770.20 : x
  2. Step 2: Convert to fraction form
    10,486.02/14,470.20 = 5,770.20/x
  3. Step 3: Cross multiply
    10,486.02x = 14,470.20 × 5,770.20
  4. Step 4: Simplify right side
    10,486.02x = 83,495,948.04
  5. Step 5: Solve for x
    x = 83,495,948.04/10,486.02
  6. Step 6: Final answer
    x = 7,962.60

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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.