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Finding the Fourth Proportional to 10,531.48, 15,783.55 and 4,284.22

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Solution

The fourth proportional to 10,531.48, 15,783.55 and 4,284.22 is: 6,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.48 : 15,783.55 = 4,284.22 : x
  2. Step 2: Convert to fraction form
    10,531.48/15,783.55 = 4,284.22/x
  3. Step 3: Cross multiply
    10,531.48x = 15,783.55 × 4,284.22
  4. Step 4: Simplify right side
    10,531.48x = 67,620,200.58
  5. Step 5: Solve for x
    x = 67,620,200.58/10,531.48
  6. Step 6: Final answer
    x = 6,420.77

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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.