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Finding the Fourth Proportional to 10,470.60, 15,705.90 and 4,233.60

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Solution

The fourth proportional to 10,470.60, 15,705.90 and 4,233.60 is: 6,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.60 : 15,705.90 = 4,233.60 : x
  2. Step 2: Convert to fraction form
    10,470.60/15,705.90 = 4,233.60/x
  3. Step 3: Cross multiply
    10,470.60x = 15,705.90 × 4,233.60
  4. Step 4: Simplify right side
    10,470.60x = 66,492,498.24
  5. Step 5: Solve for x
    x = 66,492,498.24/10,470.60
  6. Step 6: Final answer
    x = 6,350.40

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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.