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Finding the Fourth Proportional to 7,240.32, 10,856.78 and 3,537

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Solution

The fourth proportional to 7,240.32, 10,856.78 and 3,537 is: 5,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.32 : 10,856.78 = 3,537 : x
  2. Step 2: Convert to fraction form
    7,240.32/10,856.78 = 3,537/x
  3. Step 3: Cross multiply
    7,240.32x = 10,856.78 × 3,537
  4. Step 4: Simplify right side
    7,240.32x = 38,400,430.86
  5. Step 5: Solve for x
    x = 38,400,430.86/7,240.32
  6. Step 6: Final answer
    x = 5,303.69

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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.