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Finding the Fourth Proportional to 8,590.58, 11,856.25 and 4,814.00

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Solution

The fourth proportional to 8,590.58, 11,856.25 and 4,814.00 is: 6,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.58 : 11,856.25 = 4,814.00 : x
  2. Step 2: Convert to fraction form
    8,590.58/11,856.25 = 4,814.00/x
  3. Step 3: Cross multiply
    8,590.58x = 11,856.25 × 4,814.00
  4. Step 4: Simplify right side
    8,590.58x = 57,075,904.15
  5. Step 5: Solve for x
    x = 57,075,904.15/8,590.58
  6. Step 6: Final answer
    x = 6,644.01

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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.