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Finding the Fourth Proportional to 10,470.06, 15,683.88 and 5,189.16

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Solution

The fourth proportional to 10,470.06, 15,683.88 and 5,189.16 is: 7,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.06 : 15,683.88 = 5,189.16 : x
  2. Step 2: Convert to fraction form
    10,470.06/15,683.88 = 5,189.16/x
  3. Step 3: Cross multiply
    10,470.06x = 15,683.88 × 5,189.16
  4. Step 4: Simplify right side
    10,470.06x = 81,386,162.74
  5. Step 5: Solve for x
    x = 81,386,162.74/10,470.06
  6. Step 6: Final answer
    x = 7,773.23

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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.