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Finding the Fourth Proportional to 10,313.76, 15,471.16 and 5,053.60

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Solution

The fourth proportional to 10,313.76, 15,471.16 and 5,053.60 is: 7,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.76 : 15,471.16 = 5,053.60 : x
  2. Step 2: Convert to fraction form
    10,313.76/15,471.16 = 5,053.60/x
  3. Step 3: Cross multiply
    10,313.76x = 15,471.16 × 5,053.60
  4. Step 4: Simplify right side
    10,313.76x = 78,185,054.18
  5. Step 5: Solve for x
    x = 78,185,054.18/10,313.76
  6. Step 6: Final answer
    x = 7,580.65

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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.