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Finding the Fourth Proportional to 7,792.64, 10,752 and 5,693.12

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Solution

The fourth proportional to 7,792.64, 10,752 and 5,693.12 is: 7,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.64 : 10,752 = 5,693.12 : x
  2. Step 2: Convert to fraction form
    7,792.64/10,752 = 5,693.12/x
  3. Step 3: Cross multiply
    7,792.64x = 10,752 × 5,693.12
  4. Step 4: Simplify right side
    7,792.64x = 61,212,426.24
  5. Step 5: Solve for x
    x = 61,212,426.24/7,792.64
  6. Step 6: Final answer
    x = 7,855.16

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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.