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Finding the Fourth Proportional to 10,177.76, 15,240.72 and 4,970

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Solution

The fourth proportional to 10,177.76, 15,240.72 and 4,970 is: 7,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.76 : 15,240.72 = 4,970 : x
  2. Step 2: Convert to fraction form
    10,177.76/15,240.72 = 4,970/x
  3. Step 3: Cross multiply
    10,177.76x = 15,240.72 × 4,970
  4. Step 4: Simplify right side
    10,177.76x = 75,746,378.40
  5. Step 5: Solve for x
    x = 75,746,378.40/10,177.76
  6. Step 6: Final answer
    x = 7,442.34

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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.