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Finding the Fourth Proportional to 8,535, 11,779.02 and 4,809.72

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Solution

The fourth proportional to 8,535, 11,779.02 and 4,809.72 is: 6,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 11,779.02 = 4,809.72 : x
  2. Step 2: Convert to fraction form
    8,535/11,779.02 = 4,809.72/x
  3. Step 3: Cross multiply
    8,535x = 11,779.02 × 4,809.72
  4. Step 4: Simplify right side
    8,535x = 56,653,788.07
  5. Step 5: Solve for x
    x = 56,653,788.07/8,535
  6. Step 6: Final answer
    x = 6,637.82

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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.