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Finding the Fourth Proportional to 7,293.16, 10,058.34 and 4,813.48

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Solution

The fourth proportional to 7,293.16, 10,058.34 and 4,813.48 is: 6,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.16 : 10,058.34 = 4,813.48 : x
  2. Step 2: Convert to fraction form
    7,293.16/10,058.34 = 4,813.48/x
  3. Step 3: Cross multiply
    7,293.16x = 10,058.34 × 4,813.48
  4. Step 4: Simplify right side
    7,293.16x = 48,415,618.42
  5. Step 5: Solve for x
    x = 48,415,618.42/7,293.16
  6. Step 6: Final answer
    x = 6,638.50

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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.