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Finding the Fourth Proportional to 8,590.40, 11,856.48 and 5,606.72

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Solution

The fourth proportional to 8,590.40, 11,856.48 and 5,606.72 is: 7,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.40 : 11,856.48 = 5,606.72 : x
  2. Step 2: Convert to fraction form
    8,590.40/11,856.48 = 5,606.72/x
  3. Step 3: Cross multiply
    8,590.40x = 11,856.48 × 5,606.72
  4. Step 4: Simplify right side
    8,590.40x = 66,475,963.55
  5. Step 5: Solve for x
    x = 66,475,963.55/8,590.40
  6. Step 6: Final answer
    x = 7,738.40

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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.