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Finding the Fourth Proportional to 10,467.85, 14,442.05 and 6,487.51

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Solution

The fourth proportional to 10,467.85, 14,442.05 and 6,487.51 is: 8,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.85 : 14,442.05 = 6,487.51 : x
  2. Step 2: Convert to fraction form
    10,467.85/14,442.05 = 6,487.51/x
  3. Step 3: Cross multiply
    10,467.85x = 14,442.05 × 6,487.51
  4. Step 4: Simplify right side
    10,467.85x = 93,692,875.25
  5. Step 5: Solve for x
    x = 93,692,875.25/10,467.85
  6. Step 6: Final answer
    x = 8,950.54

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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.