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Finding the Fourth Proportional to 7,580.34, 11,371.16 and 2,316.54

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Solution

The fourth proportional to 7,580.34, 11,371.16 and 2,316.54 is: 3,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.34 : 11,371.16 = 2,316.54 : x
  2. Step 2: Convert to fraction form
    7,580.34/11,371.16 = 2,316.54/x
  3. Step 3: Cross multiply
    7,580.34x = 11,371.16 × 2,316.54
  4. Step 4: Simplify right side
    7,580.34x = 26,341,746.99
  5. Step 5: Solve for x
    x = 26,341,746.99/7,580.34
  6. Step 6: Final answer
    x = 3,475.01

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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.