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Finding the Fourth Proportional to 7,660.16, 10,570.74 and 4,303.11

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Solution

The fourth proportional to 7,660.16, 10,570.74 and 4,303.11 is: 5,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.16 : 10,570.74 = 4,303.11 : x
  2. Step 2: Convert to fraction form
    7,660.16/10,570.74 = 4,303.11/x
  3. Step 3: Cross multiply
    7,660.16x = 10,570.74 × 4,303.11
  4. Step 4: Simplify right side
    7,660.16x = 45,487,057.00
  5. Step 5: Solve for x
    x = 45,487,057.00/7,660.16
  6. Step 6: Final answer
    x = 5,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.