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Finding the Fourth Proportional to 7,292.32, 10,064 and 4,498.08

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Solution

The fourth proportional to 7,292.32, 10,064 and 4,498.08 is: 6,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.32 : 10,064 = 4,498.08 : x
  2. Step 2: Convert to fraction form
    7,292.32/10,064 = 4,498.08/x
  3. Step 3: Cross multiply
    7,292.32x = 10,064 × 4,498.08
  4. Step 4: Simplify right side
    7,292.32x = 45,268,677.12
  5. Step 5: Solve for x
    x = 45,268,677.12/7,292.32
  6. Step 6: Final answer
    x = 6,207.72

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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.