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Finding the Fourth Proportional to 10,288.32, 15,430.05 and 4,738.20

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Solution

The fourth proportional to 10,288.32, 15,430.05 and 4,738.20 is: 7,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.32 : 15,430.05 = 4,738.20 : x
  2. Step 2: Convert to fraction form
    10,288.32/15,430.05 = 4,738.20/x
  3. Step 3: Cross multiply
    10,288.32x = 15,430.05 × 4,738.20
  4. Step 4: Simplify right side
    10,288.32x = 73,110,662.91
  5. Step 5: Solve for x
    x = 73,110,662.91/10,288.32
  6. Step 6: Final answer
    x = 7,106.18

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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.