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Finding the Fourth Proportional to 7,259.50, 10,895.93 and 4,491.58

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Solution

The fourth proportional to 7,259.50, 10,895.93 and 4,491.58 is: 6,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.50 : 10,895.93 = 4,491.58 : x
  2. Step 2: Convert to fraction form
    7,259.50/10,895.93 = 4,491.58/x
  3. Step 3: Cross multiply
    7,259.50x = 10,895.93 × 4,491.58
  4. Step 4: Simplify right side
    7,259.50x = 48,939,954.11
  5. Step 5: Solve for x
    x = 48,939,954.11/7,259.50
  6. Step 6: Final answer
    x = 6,741.50

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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.