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Finding the Fourth Proportional to 10,470.57, 15,685.29 and 6,078.84

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Solution

The fourth proportional to 10,470.57, 15,685.29 and 6,078.84 is: 9,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.57 : 15,685.29 = 6,078.84 : x
  2. Step 2: Convert to fraction form
    10,470.57/15,685.29 = 6,078.84/x
  3. Step 3: Cross multiply
    10,470.57x = 15,685.29 × 6,078.84
  4. Step 4: Simplify right side
    10,470.57x = 95,348,368.26
  5. Step 5: Solve for x
    x = 95,348,368.26/10,470.57
  6. Step 6: Final answer
    x = 9,106.32

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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.