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Finding the Fourth Proportional to 7,295.32, 10,064.10 and 5,305

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Solution

The fourth proportional to 7,295.32, 10,064.10 and 5,305 is: 7,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.32 : 10,064.10 = 5,305 : x
  2. Step 2: Convert to fraction form
    7,295.32/10,064.10 = 5,305/x
  3. Step 3: Cross multiply
    7,295.32x = 10,064.10 × 5,305
  4. Step 4: Simplify right side
    7,295.32x = 53,390,050.50
  5. Step 5: Solve for x
    x = 53,390,050.50/7,295.32
  6. Step 6: Final answer
    x = 7,318.40

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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.