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Finding the Fourth Proportional to 10,047.24, 15,062.58 and 4,780.16

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Solution

The fourth proportional to 10,047.24, 15,062.58 and 4,780.16 is: 7,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.24 : 15,062.58 = 4,780.16 : x
  2. Step 2: Convert to fraction form
    10,047.24/15,062.58 = 4,780.16/x
  3. Step 3: Cross multiply
    10,047.24x = 15,062.58 × 4,780.16
  4. Step 4: Simplify right side
    10,047.24x = 72,001,542.41
  5. Step 5: Solve for x
    x = 72,001,542.41/10,047.24
  6. Step 6: Final answer
    x = 7,166.30

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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.