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Finding the Fourth Proportional to 11,358.48, 15,665.76 and 7,820.40

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Solution

The fourth proportional to 11,358.48, 15,665.76 and 7,820.40 is: 10,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.48 : 15,665.76 = 7,820.40 : x
  2. Step 2: Convert to fraction form
    11,358.48/15,665.76 = 7,820.40/x
  3. Step 3: Cross multiply
    11,358.48x = 15,665.76 × 7,820.40
  4. Step 4: Simplify right side
    11,358.48x = 122,512,509.50
  5. Step 5: Solve for x
    x = 122,512,509.50/11,358.48
  6. Step 6: Final answer
    x = 10,786.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.