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Finding the Fourth Proportional to 10,656.60, 15,971.02 and 5,720.46

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Solution

The fourth proportional to 10,656.60, 15,971.02 and 5,720.46 is: 8,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.60 : 15,971.02 = 5,720.46 : x
  2. Step 2: Convert to fraction form
    10,656.60/15,971.02 = 5,720.46/x
  3. Step 3: Cross multiply
    10,656.60x = 15,971.02 × 5,720.46
  4. Step 4: Simplify right side
    10,656.60x = 91,361,581.07
  5. Step 5: Solve for x
    x = 91,361,581.07/10,656.60
  6. Step 6: Final answer
    x = 8,573.24

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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.