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Finding the Fourth Proportional to 7,898.85, 11,858.60 and 5,283.16

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Solution

The fourth proportional to 7,898.85, 11,858.60 and 5,283.16 is: 7,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.85 : 11,858.60 = 5,283.16 : x
  2. Step 2: Convert to fraction form
    7,898.85/11,858.60 = 5,283.16/x
  3. Step 3: Cross multiply
    7,898.85x = 11,858.60 × 5,283.16
  4. Step 4: Simplify right side
    7,898.85x = 62,650,864.74
  5. Step 5: Solve for x
    x = 62,650,864.74/7,898.85
  6. Step 6: Final answer
    x = 7,931.64

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