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Finding the Fourth Proportional to 8,774.60, 13,162.59 and 2,931.23

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Solution

The fourth proportional to 8,774.60, 13,162.59 and 2,931.23 is: 4,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.60 : 13,162.59 = 2,931.23 : x
  2. Step 2: Convert to fraction form
    8,774.60/13,162.59 = 2,931.23/x
  3. Step 3: Cross multiply
    8,774.60x = 13,162.59 × 2,931.23
  4. Step 4: Simplify right side
    8,774.60x = 38,582,578.69
  5. Step 5: Solve for x
    x = 38,582,578.69/8,774.60
  6. Step 6: Final answer
    x = 4,397.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.