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Finding the Fourth Proportional to 10,461.50, 15,693.15 and 2,670.29

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Solution

The fourth proportional to 10,461.50, 15,693.15 and 2,670.29 is: 4,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.50 : 15,693.15 = 2,670.29 : x
  2. Step 2: Convert to fraction form
    10,461.50/15,693.15 = 2,670.29/x
  3. Step 3: Cross multiply
    10,461.50x = 15,693.15 × 2,670.29
  4. Step 4: Simplify right side
    10,461.50x = 41,905,261.51
  5. Step 5: Solve for x
    x = 41,905,261.51/10,461.50
  6. Step 6: Final answer
    x = 4,005.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.