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Finding the Fourth Proportional to 7,199.64, 9,935.53 and 4,175.35

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Solution

The fourth proportional to 7,199.64, 9,935.53 and 4,175.35 is: 5,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.64 : 9,935.53 = 4,175.35 : x
  2. Step 2: Convert to fraction form
    7,199.64/9,935.53 = 4,175.35/x
  3. Step 3: Cross multiply
    7,199.64x = 9,935.53 × 4,175.35
  4. Step 4: Simplify right side
    7,199.64x = 41,484,315.19
  5. Step 5: Solve for x
    x = 41,484,315.19/7,199.64
  6. Step 6: Final answer
    x = 5,762.00

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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.