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Finding the Fourth Proportional to 8,316, 11,476.80 and 4,590.72

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Solution

The fourth proportional to 8,316, 11,476.80 and 4,590.72 is: 6,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316 : 11,476.80 = 4,590.72 : x
  2. Step 2: Convert to fraction form
    8,316/11,476.80 = 4,590.72/x
  3. Step 3: Cross multiply
    8,316x = 11,476.80 × 4,590.72
  4. Step 4: Simplify right side
    8,316x = 52,686,775.30
  5. Step 5: Solve for x
    x = 52,686,775.30/8,316
  6. Step 6: Final answer
    x = 6,335.59

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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.