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Finding the Fourth Proportional to 10,156.77, 15,237.06 and 4,610.50

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Solution

The fourth proportional to 10,156.77, 15,237.06 and 4,610.50 is: 6,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.77 : 15,237.06 = 4,610.50 : x
  2. Step 2: Convert to fraction form
    10,156.77/15,237.06 = 4,610.50/x
  3. Step 3: Cross multiply
    10,156.77x = 15,237.06 × 4,610.50
  4. Step 4: Simplify right side
    10,156.77x = 70,250,478.41
  5. Step 5: Solve for x
    x = 70,250,478.41/10,156.77
  6. Step 6: Final answer
    x = 6,916.62

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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.