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Finding the Fourth Proportional to 6,743.16, 9,303.93 and 5,068.53

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Solution

The fourth proportional to 6,743.16, 9,303.93 and 5,068.53 is: 6,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.16 : 9,303.93 = 5,068.53 : x
  2. Step 2: Convert to fraction form
    6,743.16/9,303.93 = 5,068.53/x
  3. Step 3: Cross multiply
    6,743.16x = 9,303.93 × 5,068.53
  4. Step 4: Simplify right side
    6,743.16x = 47,157,248.32
  5. Step 5: Solve for x
    x = 47,157,248.32/6,743.16
  6. Step 6: Final answer
    x = 6,993.35

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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.