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Finding the Fourth Proportional to 7,256.35, 10,878.24 and 4,328.50

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Solution

The fourth proportional to 7,256.35, 10,878.24 and 4,328.50 is: 6,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.35 : 10,878.24 = 4,328.50 : x
  2. Step 2: Convert to fraction form
    7,256.35/10,878.24 = 4,328.50/x
  3. Step 3: Cross multiply
    7,256.35x = 10,878.24 × 4,328.50
  4. Step 4: Simplify right side
    7,256.35x = 47,086,461.84
  5. Step 5: Solve for x
    x = 47,086,461.84/7,256.35
  6. Step 6: Final answer
    x = 6,489.00

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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.